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Finding the Fourth Proportional to 6,475.32, 8,938.65 and 4,380.66

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Solution

The fourth proportional to 6,475.32, 8,938.65 and 4,380.66 is: 6,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.32 : 8,938.65 = 4,380.66 : x
  2. Step 2: Convert to fraction form
    6,475.32/8,938.65 = 4,380.66/x
  3. Step 3: Cross multiply
    6,475.32x = 8,938.65 × 4,380.66
  4. Step 4: Simplify right side
    6,475.32x = 39,157,186.51
  5. Step 5: Solve for x
    x = 39,157,186.51/6,475.32
  6. Step 6: Final answer
    x = 6,047.14

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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.