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Finding the Fourth Proportional to 8,470.75, 11,689.61 and 4,693.92

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Solution

The fourth proportional to 8,470.75, 11,689.61 and 4,693.92 is: 6,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.75 : 11,689.61 = 4,693.92 : x
  2. Step 2: Convert to fraction form
    8,470.75/11,689.61 = 4,693.92/x
  3. Step 3: Cross multiply
    8,470.75x = 11,689.61 × 4,693.92
  4. Step 4: Simplify right side
    8,470.75x = 54,870,094.17
  5. Step 5: Solve for x
    x = 54,870,094.17/8,470.75
  6. Step 6: Final answer
    x = 6,477.60

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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.