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Finding the Fourth Proportional to 11,700.67, 16,148.05 and 6,666.52

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Solution

The fourth proportional to 11,700.67, 16,148.05 and 6,666.52 is: 9,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.67 : 16,148.05 = 6,666.52 : x
  2. Step 2: Convert to fraction form
    11,700.67/16,148.05 = 6,666.52/x
  3. Step 3: Cross multiply
    11,700.67x = 16,148.05 × 6,666.52
  4. Step 4: Simplify right side
    11,700.67x = 107,651,298.29
  5. Step 5: Solve for x
    x = 107,651,298.29/11,700.67
  6. Step 6: Final answer
    x = 9,200.44

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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.