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Finding the Fourth Proportional to 6,312.60, 9,470.26 and 2,417

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Solution

The fourth proportional to 6,312.60, 9,470.26 and 2,417 is: 3,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.60 : 9,470.26 = 2,417 : x
  2. Step 2: Convert to fraction form
    6,312.60/9,470.26 = 2,417/x
  3. Step 3: Cross multiply
    6,312.60x = 9,470.26 × 2,417
  4. Step 4: Simplify right side
    6,312.60x = 22,889,618.42
  5. Step 5: Solve for x
    x = 22,889,618.42/6,312.60
  6. Step 6: Final answer
    x = 3,626.02

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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.