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Finding the Fourth Proportional to 7,301.66, 10,076.66 and 4,468.15

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Solution

The fourth proportional to 7,301.66, 10,076.66 and 4,468.15 is: 6,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.66 : 10,076.66 = 4,468.15 : x
  2. Step 2: Convert to fraction form
    7,301.66/10,076.66 = 4,468.15/x
  3. Step 3: Cross multiply
    7,301.66x = 10,076.66 × 4,468.15
  4. Step 4: Simplify right side
    7,301.66x = 45,024,028.38
  5. Step 5: Solve for x
    x = 45,024,028.38/7,301.66
  6. Step 6: Final answer
    x = 6,166.27

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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.