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Finding the Fourth Proportional to 7,657.92, 10,567.91 and 4,470.98

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Solution

The fourth proportional to 7,657.92, 10,567.91 and 4,470.98 is: 6,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.92 : 10,567.91 = 4,470.98 : x
  2. Step 2: Convert to fraction form
    7,657.92/10,567.91 = 4,470.98/x
  3. Step 3: Cross multiply
    7,657.92x = 10,567.91 × 4,470.98
  4. Step 4: Simplify right side
    7,657.92x = 47,248,839.06
  5. Step 5: Solve for x
    x = 47,248,839.06/7,657.92
  6. Step 6: Final answer
    x = 6,169.93

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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.