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Finding the Fourth Proportional to 7,114.64, 10,600.80 and 6,338.66

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Solution

The fourth proportional to 7,114.64, 10,600.80 and 6,338.66 is: 9,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.64 : 10,600.80 = 6,338.66 : x
  2. Step 2: Convert to fraction form
    7,114.64/10,600.80 = 6,338.66/x
  3. Step 3: Cross multiply
    7,114.64x = 10,600.80 × 6,338.66
  4. Step 4: Simplify right side
    7,114.64x = 67,194,866.93
  5. Step 5: Solve for x
    x = 67,194,866.93/7,114.64
  6. Step 6: Final answer
    x = 9,444.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.