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Finding the Fourth Proportional to 6,312.60, 9,471.02 and 2,802.12

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Solution

The fourth proportional to 6,312.60, 9,471.02 and 2,802.12 is: 4,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.60 : 9,471.02 = 2,802.12 : x
  2. Step 2: Convert to fraction form
    6,312.60/9,471.02 = 2,802.12/x
  3. Step 3: Cross multiply
    6,312.60x = 9,471.02 × 2,802.12
  4. Step 4: Simplify right side
    6,312.60x = 26,538,920.55
  5. Step 5: Solve for x
    x = 26,538,920.55/6,312.60
  6. Step 6: Final answer
    x = 4,204.12

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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.