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Finding the Fourth Proportional to 7,159.86, 9,892.49 and 5,658.92

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Solution

The fourth proportional to 7,159.86, 9,892.49 and 5,658.92 is: 7,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.86 : 9,892.49 = 5,658.92 : x
  2. Step 2: Convert to fraction form
    7,159.86/9,892.49 = 5,658.92/x
  3. Step 3: Cross multiply
    7,159.86x = 9,892.49 × 5,658.92
  4. Step 4: Simplify right side
    7,159.86x = 55,980,809.51
  5. Step 5: Solve for x
    x = 55,980,809.51/7,159.86
  6. Step 6: Final answer
    x = 7,818.70

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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.