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Finding the Fourth Proportional to 7,641.86, 10,520.58 and 6,646.61

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Solution

The fourth proportional to 7,641.86, 10,520.58 and 6,646.61 is: 9,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.86 : 10,520.58 = 6,646.61 : x
  2. Step 2: Convert to fraction form
    7,641.86/10,520.58 = 6,646.61/x
  3. Step 3: Cross multiply
    7,641.86x = 10,520.58 × 6,646.61
  4. Step 4: Simplify right side
    7,641.86x = 69,926,192.23
  5. Step 5: Solve for x
    x = 69,926,192.23/7,641.86
  6. Step 6: Final answer
    x = 9,150.42

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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.