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Finding the Fourth Proportional to 6,309.12, 8,695.92 and 4,316.24

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Solution

The fourth proportional to 6,309.12, 8,695.92 and 4,316.24 is: 5,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.12 : 8,695.92 = 4,316.24 : x
  2. Step 2: Convert to fraction form
    6,309.12/8,695.92 = 4,316.24/x
  3. Step 3: Cross multiply
    6,309.12x = 8,695.92 × 4,316.24
  4. Step 4: Simplify right side
    6,309.12x = 37,533,677.74
  5. Step 5: Solve for x
    x = 37,533,677.74/6,309.12
  6. Step 6: Final answer
    x = 5,949.11

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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.