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Finding the Fourth Proportional to 7,453.60, 10,296.72 and 7,223.20

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Solution

The fourth proportional to 7,453.60, 10,296.72 and 7,223.20 is: 9,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.60 : 10,296.72 = 7,223.20 : x
  2. Step 2: Convert to fraction form
    7,453.60/10,296.72 = 7,223.20/x
  3. Step 3: Cross multiply
    7,453.60x = 10,296.72 × 7,223.20
  4. Step 4: Simplify right side
    7,453.60x = 74,375,267.90
  5. Step 5: Solve for x
    x = 74,375,267.90/7,453.60
  6. Step 6: Final answer
    x = 9,978.44

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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.