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Finding the Fourth Proportional to 6,332.09, 9,498.11 and 1,715.09

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Solution

The fourth proportional to 6,332.09, 9,498.11 and 1,715.09 is: 2,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.09 : 9,498.11 = 1,715.09 : x
  2. Step 2: Convert to fraction form
    6,332.09/9,498.11 = 1,715.09/x
  3. Step 3: Cross multiply
    6,332.09x = 9,498.11 × 1,715.09
  4. Step 4: Simplify right side
    6,332.09x = 16,290,057.41
  5. Step 5: Solve for x
    x = 16,290,057.41/6,332.09
  6. Step 6: Final answer
    x = 2,572.62

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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.