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Finding the Fourth Proportional to 9,684.77, 13,365.20 and 5,493.02

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Solution

The fourth proportional to 9,684.77, 13,365.20 and 5,493.02 is: 7,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.77 : 13,365.20 = 5,493.02 : x
  2. Step 2: Convert to fraction form
    9,684.77/13,365.20 = 5,493.02/x
  3. Step 3: Cross multiply
    9,684.77x = 13,365.20 × 5,493.02
  4. Step 4: Simplify right side
    9,684.77x = 73,415,257.81
  5. Step 5: Solve for x
    x = 73,415,257.81/9,684.77
  6. Step 6: Final answer
    x = 7,580.49

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.