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Finding the Fourth Proportional to 9,646.61, 14,472.65 and 3,073.30

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Solution

The fourth proportional to 9,646.61, 14,472.65 and 3,073.30 is: 4,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.61 : 14,472.65 = 3,073.30 : x
  2. Step 2: Convert to fraction form
    9,646.61/14,472.65 = 3,073.30/x
  3. Step 3: Cross multiply
    9,646.61x = 14,472.65 × 3,073.30
  4. Step 4: Simplify right side
    9,646.61x = 44,478,795.25
  5. Step 5: Solve for x
    x = 44,478,795.25/9,646.61
  6. Step 6: Final answer
    x = 4,610.82

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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.