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Finding the Fourth Proportional to 10,797.81, 14,899.95 and 7,966.76

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Solution

The fourth proportional to 10,797.81, 14,899.95 and 7,966.76 is: 10,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.81 : 14,899.95 = 7,966.76 : x
  2. Step 2: Convert to fraction form
    10,797.81/14,899.95 = 7,966.76/x
  3. Step 3: Cross multiply
    10,797.81x = 14,899.95 × 7,966.76
  4. Step 4: Simplify right side
    10,797.81x = 118,704,251.16
  5. Step 5: Solve for x
    x = 118,704,251.16/10,797.81
  6. Step 6: Final answer
    x = 10,993.37

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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.