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Finding the Fourth Proportional to 26,671.84, 40,002.81 and 9,801.16

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Solution

The fourth proportional to 26,671.84, 40,002.81 and 9,801.16 is: 14,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,671.84 : 40,002.81 = 9,801.16 : x
  2. Step 2: Convert to fraction form
    26,671.84/40,002.81 = 9,801.16/x
  3. Step 3: Cross multiply
    26,671.84x = 40,002.81 × 9,801.16
  4. Step 4: Simplify right side
    26,671.84x = 392,073,941.26
  5. Step 5: Solve for x
    x = 392,073,941.26/26,671.84
  6. Step 6: Final answer
    x = 14,699.92

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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.