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Finding the Fourth Proportional to 9,652.83, 13,318.18 and 5,672.49

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Solution

The fourth proportional to 9,652.83, 13,318.18 and 5,672.49 is: 7,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.83 : 13,318.18 = 5,672.49 : x
  2. Step 2: Convert to fraction form
    9,652.83/13,318.18 = 5,672.49/x
  3. Step 3: Cross multiply
    9,652.83x = 13,318.18 × 5,672.49
  4. Step 4: Simplify right side
    9,652.83x = 75,547,242.87
  5. Step 5: Solve for x
    x = 75,547,242.87/9,652.83
  6. Step 6: Final answer
    x = 7,826.43

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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.