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Finding the Fourth Proportional to 8,761.65, 12,095.48 and 5,578.14

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Solution

The fourth proportional to 8,761.65, 12,095.48 and 5,578.14 is: 7,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.65 : 12,095.48 = 5,578.14 : x
  2. Step 2: Convert to fraction form
    8,761.65/12,095.48 = 5,578.14/x
  3. Step 3: Cross multiply
    8,761.65x = 12,095.48 × 5,578.14
  4. Step 4: Simplify right side
    8,761.65x = 67,470,280.81
  5. Step 5: Solve for x
    x = 67,470,280.81/8,761.65
  6. Step 6: Final answer
    x = 7,700.64

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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.