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Finding the Fourth Proportional to 9,253.48, 12,766.02 and 6,730.06

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Solution

The fourth proportional to 9,253.48, 12,766.02 and 6,730.06 is: 9,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.48 : 12,766.02 = 6,730.06 : x
  2. Step 2: Convert to fraction form
    9,253.48/12,766.02 = 6,730.06/x
  3. Step 3: Cross multiply
    9,253.48x = 12,766.02 × 6,730.06
  4. Step 4: Simplify right side
    9,253.48x = 85,916,080.56
  5. Step 5: Solve for x
    x = 85,916,080.56/9,253.48
  6. Step 6: Final answer
    x = 9,284.73

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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.