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Finding the Fourth Proportional to 16,347.78, 24,489.51 and 10,784.13

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Solution

The fourth proportional to 16,347.78, 24,489.51 and 10,784.13 is: 16,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.78 : 24,489.51 = 10,784.13 : x
  2. Step 2: Convert to fraction form
    16,347.78/24,489.51 = 10,784.13/x
  3. Step 3: Cross multiply
    16,347.78x = 24,489.51 × 10,784.13
  4. Step 4: Simplify right side
    16,347.78x = 264,097,927.20
  5. Step 5: Solve for x
    x = 264,097,927.20/16,347.78
  6. Step 6: Final answer
    x = 16,154.97

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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.