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Finding the Fourth Proportional to 6,495.74, 8,962.97 and 3,842.18

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Solution

The fourth proportional to 6,495.74, 8,962.97 and 3,842.18 is: 5,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.74 : 8,962.97 = 3,842.18 : x
  2. Step 2: Convert to fraction form
    6,495.74/8,962.97 = 3,842.18/x
  3. Step 3: Cross multiply
    6,495.74x = 8,962.97 × 3,842.18
  4. Step 4: Simplify right side
    6,495.74x = 34,437,280.05
  5. Step 5: Solve for x
    x = 34,437,280.05/6,495.74
  6. Step 6: Final answer
    x = 5,301.52

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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.