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Finding the Fourth Proportional to 17,506.54, 24,159.02 and 9,548.76

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Solution

The fourth proportional to 17,506.54, 24,159.02 and 9,548.76 is: 13,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.54 : 24,159.02 = 9,548.76 : x
  2. Step 2: Convert to fraction form
    17,506.54/24,159.02 = 9,548.76/x
  3. Step 3: Cross multiply
    17,506.54x = 24,159.02 × 9,548.76
  4. Step 4: Simplify right side
    17,506.54x = 230,688,683.82
  5. Step 5: Solve for x
    x = 230,688,683.82/17,506.54
  6. Step 6: Final answer
    x = 13,177.29

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.