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Finding the Fourth Proportional to 7,188.48, 9,920 and 4,044.68

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Solution

The fourth proportional to 7,188.48, 9,920 and 4,044.68 is: 5,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.48 : 9,920 = 4,044.68 : x
  2. Step 2: Convert to fraction form
    7,188.48/9,920 = 4,044.68/x
  3. Step 3: Cross multiply
    7,188.48x = 9,920 × 4,044.68
  4. Step 4: Simplify right side
    7,188.48x = 40,123,225.60
  5. Step 5: Solve for x
    x = 40,123,225.60/7,188.48
  6. Step 6: Final answer
    x = 5,581.60

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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.