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Finding the Fourth Proportional to 9,957.60, 13,744.80 and 7,279.20

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Solution

The fourth proportional to 9,957.60, 13,744.80 and 7,279.20 is: 10,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.60 : 13,744.80 = 7,279.20 : x
  2. Step 2: Convert to fraction form
    9,957.60/13,744.80 = 7,279.20/x
  3. Step 3: Cross multiply
    9,957.60x = 13,744.80 × 7,279.20
  4. Step 4: Simplify right side
    9,957.60x = 100,051,148.16
  5. Step 5: Solve for x
    x = 100,051,148.16/9,957.60
  6. Step 6: Final answer
    x = 10,047.72

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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.