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Finding the Fourth Proportional to 6,644.32, 9,159.14 and 5,463.34

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Solution

The fourth proportional to 6,644.32, 9,159.14 and 5,463.34 is: 7,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.32 : 9,159.14 = 5,463.34 : x
  2. Step 2: Convert to fraction form
    6,644.32/9,159.14 = 5,463.34/x
  3. Step 3: Cross multiply
    6,644.32x = 9,159.14 × 5,463.34
  4. Step 4: Simplify right side
    6,644.32x = 50,039,495.93
  5. Step 5: Solve for x
    x = 50,039,495.93/6,644.32
  6. Step 6: Final answer
    x = 7,531.17

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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.