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Finding the Fourth Proportional to 6,492.18, 9,731.31 and 4,637.66

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Solution

The fourth proportional to 6,492.18, 9,731.31 and 4,637.66 is: 6,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.18 : 9,731.31 = 4,637.66 : x
  2. Step 2: Convert to fraction form
    6,492.18/9,731.31 = 4,637.66/x
  3. Step 3: Cross multiply
    6,492.18x = 9,731.31 × 4,637.66
  4. Step 4: Simplify right side
    6,492.18x = 45,130,531.46
  5. Step 5: Solve for x
    x = 45,130,531.46/6,492.18
  6. Step 6: Final answer
    x = 6,951.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.