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Finding the Fourth Proportional to 14,874.51, 22,287.65 and 7,854.15

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Solution

The fourth proportional to 14,874.51, 22,287.65 and 7,854.15 is: 11,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.51 : 22,287.65 = 7,854.15 : x
  2. Step 2: Convert to fraction form
    14,874.51/22,287.65 = 7,854.15/x
  3. Step 3: Cross multiply
    14,874.51x = 22,287.65 × 7,854.15
  4. Step 4: Simplify right side
    14,874.51x = 175,050,546.25
  5. Step 5: Solve for x
    x = 175,050,546.25/14,874.51
  6. Step 6: Final answer
    x = 11,768.49

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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.