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Finding the Fourth Proportional to 9,310.97, 13,966.10 and 2,291.00

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Solution

The fourth proportional to 9,310.97, 13,966.10 and 2,291.00 is: 3,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.97 : 13,966.10 = 2,291.00 : x
  2. Step 2: Convert to fraction form
    9,310.97/13,966.10 = 2,291.00/x
  3. Step 3: Cross multiply
    9,310.97x = 13,966.10 × 2,291.00
  4. Step 4: Simplify right side
    9,310.97x = 31,996,253.81
  5. Step 5: Solve for x
    x = 31,996,253.81/9,310.97
  6. Step 6: Final answer
    x = 3,436.41

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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.