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Finding the Fourth Proportional to 8,597.31, 11,865.02 and 4,964.53

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Solution

The fourth proportional to 8,597.31, 11,865.02 and 4,964.53 is: 6,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.31 : 11,865.02 = 4,964.53 : x
  2. Step 2: Convert to fraction form
    8,597.31/11,865.02 = 4,964.53/x
  3. Step 3: Cross multiply
    8,597.31x = 11,865.02 × 4,964.53
  4. Step 4: Simplify right side
    8,597.31x = 58,904,247.74
  5. Step 5: Solve for x
    x = 58,904,247.74/8,597.31
  6. Step 6: Final answer
    x = 6,851.47

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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.