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Finding the Fourth Proportional to 6,146.76, 8,462.02 and 5,864.32

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Solution

The fourth proportional to 6,146.76, 8,462.02 and 5,864.32 is: 8,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.76 : 8,462.02 = 5,864.32 : x
  2. Step 2: Convert to fraction form
    6,146.76/8,462.02 = 5,864.32/x
  3. Step 3: Cross multiply
    6,146.76x = 8,462.02 × 5,864.32
  4. Step 4: Simplify right side
    6,146.76x = 49,623,971.97
  5. Step 5: Solve for x
    x = 49,623,971.97/6,146.76
  6. Step 6: Final answer
    x = 8,073.20

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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.