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Finding the Fourth Proportional to 7,158, 9,882.24 and 4,507.68

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Solution

The fourth proportional to 7,158, 9,882.24 and 4,507.68 is: 6,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158 : 9,882.24 = 4,507.68 : x
  2. Step 2: Convert to fraction form
    7,158/9,882.24 = 4,507.68/x
  3. Step 3: Cross multiply
    7,158x = 9,882.24 × 4,507.68
  4. Step 4: Simplify right side
    7,158x = 44,545,975.60
  5. Step 5: Solve for x
    x = 44,545,975.60/7,158
  6. Step 6: Final answer
    x = 6,223.24

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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.