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Finding the Fourth Proportional to 7,423.86, 10,250.13 and 5,065.14

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Solution

The fourth proportional to 7,423.86, 10,250.13 and 5,065.14 is: 6,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.86 : 10,250.13 = 5,065.14 : x
  2. Step 2: Convert to fraction form
    7,423.86/10,250.13 = 5,065.14/x
  3. Step 3: Cross multiply
    7,423.86x = 10,250.13 × 5,065.14
  4. Step 4: Simplify right side
    7,423.86x = 51,918,343.47
  5. Step 5: Solve for x
    x = 51,918,343.47/7,423.86
  6. Step 6: Final answer
    x = 6,993.44

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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.