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Finding the Fourth Proportional to 9,123.21, 13,684.81 and 7,046.24

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Solution

The fourth proportional to 9,123.21, 13,684.81 and 7,046.24 is: 10,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.21 : 13,684.81 = 7,046.24 : x
  2. Step 2: Convert to fraction form
    9,123.21/13,684.81 = 7,046.24/x
  3. Step 3: Cross multiply
    9,123.21x = 13,684.81 × 7,046.24
  4. Step 4: Simplify right side
    9,123.21x = 96,426,455.61
  5. Step 5: Solve for x
    x = 96,426,455.61/9,123.21
  6. Step 6: Final answer
    x = 10,569.36

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.