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Finding the Fourth Proportional to 8,323.65, 12,487.77 and 5,363.10

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Solution

The fourth proportional to 8,323.65, 12,487.77 and 5,363.10 is: 8,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.65 : 12,487.77 = 5,363.10 : x
  2. Step 2: Convert to fraction form
    8,323.65/12,487.77 = 5,363.10/x
  3. Step 3: Cross multiply
    8,323.65x = 12,487.77 × 5,363.10
  4. Step 4: Simplify right side
    8,323.65x = 66,973,159.29
  5. Step 5: Solve for x
    x = 66,973,159.29/8,323.65
  6. Step 6: Final answer
    x = 8,046.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.