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Finding the Fourth Proportional to 7,130.52, 10,624.71 and 6,354.60

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Solution

The fourth proportional to 7,130.52, 10,624.71 and 6,354.60 is: 9,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.52 : 10,624.71 = 6,354.60 : x
  2. Step 2: Convert to fraction form
    7,130.52/10,624.71 = 6,354.60/x
  3. Step 3: Cross multiply
    7,130.52x = 10,624.71 × 6,354.60
  4. Step 4: Simplify right side
    7,130.52x = 67,515,782.17
  5. Step 5: Solve for x
    x = 67,515,782.17/7,130.52
  6. Step 6: Final answer
    x = 9,468.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.