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Finding the Fourth Proportional to 7,590.71, 10,470.97 and 4,446.29

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Solution

The fourth proportional to 7,590.71, 10,470.97 and 4,446.29 is: 6,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.71 : 10,470.97 = 4,446.29 : x
  2. Step 2: Convert to fraction form
    7,590.71/10,470.97 = 4,446.29/x
  3. Step 3: Cross multiply
    7,590.71x = 10,470.97 × 4,446.29
  4. Step 4: Simplify right side
    7,590.71x = 46,557,000.94
  5. Step 5: Solve for x
    x = 46,557,000.94/7,590.71
  6. Step 6: Final answer
    x = 6,133.42

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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.