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Finding the Fourth Proportional to 10,477.54, 15,641.65 and 9,101.62

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Solution

The fourth proportional to 10,477.54, 15,641.65 and 9,101.62 is: 13,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.54 : 15,641.65 = 9,101.62 : x
  2. Step 2: Convert to fraction form
    10,477.54/15,641.65 = 9,101.62/x
  3. Step 3: Cross multiply
    10,477.54x = 15,641.65 × 9,101.62
  4. Step 4: Simplify right side
    10,477.54x = 142,364,354.47
  5. Step 5: Solve for x
    x = 142,364,354.47/10,477.54
  6. Step 6: Final answer
    x = 13,587.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.