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Finding the Fourth Proportional to 7,124.52, 9,822.96 and 4,470.96

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Solution

The fourth proportional to 7,124.52, 9,822.96 and 4,470.96 is: 6,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.52 : 9,822.96 = 4,470.96 : x
  2. Step 2: Convert to fraction form
    7,124.52/9,822.96 = 4,470.96/x
  3. Step 3: Cross multiply
    7,124.52x = 9,822.96 × 4,470.96
  4. Step 4: Simplify right side
    7,124.52x = 43,918,061.24
  5. Step 5: Solve for x
    x = 43,918,061.24/7,124.52
  6. Step 6: Final answer
    x = 6,164.35

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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.