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Finding the Fourth Proportional to 10,642.75, 14,686.99 and 6,169.10

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Solution

The fourth proportional to 10,642.75, 14,686.99 and 6,169.10 is: 8,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.75 : 14,686.99 = 6,169.10 : x
  2. Step 2: Convert to fraction form
    10,642.75/14,686.99 = 6,169.10/x
  3. Step 3: Cross multiply
    10,642.75x = 14,686.99 × 6,169.10
  4. Step 4: Simplify right side
    10,642.75x = 90,605,444.29
  5. Step 5: Solve for x
    x = 90,605,444.29/10,642.75
  6. Step 6: Final answer
    x = 8,513.35

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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.