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Finding the Fourth Proportional to 7,301.86, 10,082.47 and 6,934.93

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Solution

The fourth proportional to 7,301.86, 10,082.47 and 6,934.93 is: 9,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.86 : 10,082.47 = 6,934.93 : x
  2. Step 2: Convert to fraction form
    7,301.86/10,082.47 = 6,934.93/x
  3. Step 3: Cross multiply
    7,301.86x = 10,082.47 × 6,934.93
  4. Step 4: Simplify right side
    7,301.86x = 69,921,223.68
  5. Step 5: Solve for x
    x = 69,921,223.68/7,301.86
  6. Step 6: Final answer
    x = 9,575.81

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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.