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Finding the Fourth Proportional to 9,042.60, 13,547.96 and 7,919.49

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Solution

The fourth proportional to 9,042.60, 13,547.96 and 7,919.49 is: 11,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.60 : 13,547.96 = 7,919.49 : x
  2. Step 2: Convert to fraction form
    9,042.60/13,547.96 = 7,919.49/x
  3. Step 3: Cross multiply
    9,042.60x = 13,547.96 × 7,919.49
  4. Step 4: Simplify right side
    9,042.60x = 107,292,894.14
  5. Step 5: Solve for x
    x = 107,292,894.14/9,042.60
  6. Step 6: Final answer
    x = 11,865.27

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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.