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Finding the Fourth Proportional to 14,310.62, 19,746.10 and 8,641.57

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Solution

The fourth proportional to 14,310.62, 19,746.10 and 8,641.57 is: 11,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.62 : 19,746.10 = 8,641.57 : x
  2. Step 2: Convert to fraction form
    14,310.62/19,746.10 = 8,641.57/x
  3. Step 3: Cross multiply
    14,310.62x = 19,746.10 × 8,641.57
  4. Step 4: Simplify right side
    14,310.62x = 170,637,305.38
  5. Step 5: Solve for x
    x = 170,637,305.38/14,310.62
  6. Step 6: Final answer
    x = 11,923.82

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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.