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Finding the Fourth Proportional to 14,253.77, 19,670.85 and 7,966.15

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Solution

The fourth proportional to 14,253.77, 19,670.85 and 7,966.15 is: 10,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.77 : 19,670.85 = 7,966.15 : x
  2. Step 2: Convert to fraction form
    14,253.77/19,670.85 = 7,966.15/x
  3. Step 3: Cross multiply
    14,253.77x = 19,670.85 × 7,966.15
  4. Step 4: Simplify right side
    14,253.77x = 156,700,892.55
  5. Step 5: Solve for x
    x = 156,700,892.55/14,253.77
  6. Step 6: Final answer
    x = 10,993.64

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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.