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Finding the Fourth Proportional to 8,371.84, 11,549.76 and 5,054.08

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Solution

The fourth proportional to 8,371.84, 11,549.76 and 5,054.08 is: 6,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.84 : 11,549.76 = 5,054.08 : x
  2. Step 2: Convert to fraction form
    8,371.84/11,549.76 = 5,054.08/x
  3. Step 3: Cross multiply
    8,371.84x = 11,549.76 × 5,054.08
  4. Step 4: Simplify right side
    8,371.84x = 58,373,411.02
  5. Step 5: Solve for x
    x = 58,373,411.02/8,371.84
  6. Step 6: Final answer
    x = 6,972.59

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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.