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Finding the Fourth Proportional to 9,291.84, 12,822.69 and 5,042.91

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Solution

The fourth proportional to 9,291.84, 12,822.69 and 5,042.91 is: 6,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.84 : 12,822.69 = 5,042.91 : x
  2. Step 2: Convert to fraction form
    9,291.84/12,822.69 = 5,042.91/x
  3. Step 3: Cross multiply
    9,291.84x = 12,822.69 × 5,042.91
  4. Step 4: Simplify right side
    9,291.84x = 64,663,671.63
  5. Step 5: Solve for x
    x = 64,663,671.63/9,291.84
  6. Step 6: Final answer
    x = 6,959.19

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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.