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Finding the Fourth Proportional to 9,674.92, 13,343.46 and 6,488.74

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Solution

The fourth proportional to 9,674.92, 13,343.46 and 6,488.74 is: 8,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.92 : 13,343.46 = 6,488.74 : x
  2. Step 2: Convert to fraction form
    9,674.92/13,343.46 = 6,488.74/x
  3. Step 3: Cross multiply
    9,674.92x = 13,343.46 × 6,488.74
  4. Step 4: Simplify right side
    9,674.92x = 86,582,242.64
  5. Step 5: Solve for x
    x = 86,582,242.64/9,674.92
  6. Step 6: Final answer
    x = 8,949.14

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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.