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Finding the Fourth Proportional to 9,966.70, 14,950.05 and 9,043.30

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Solution

The fourth proportional to 9,966.70, 14,950.05 and 9,043.30 is: 13,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.70 : 14,950.05 = 9,043.30 : x
  2. Step 2: Convert to fraction form
    9,966.70/14,950.05 = 9,043.30/x
  3. Step 3: Cross multiply
    9,966.70x = 14,950.05 × 9,043.30
  4. Step 4: Simplify right side
    9,966.70x = 135,197,787.17
  5. Step 5: Solve for x
    x = 135,197,787.17/9,966.70
  6. Step 6: Final answer
    x = 13,564.95

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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.