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Finding the Fourth Proportional to 14,900.98, 20,565 and 8,528.17

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Solution

The fourth proportional to 14,900.98, 20,565 and 8,528.17 is: 11,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.98 : 20,565 = 8,528.17 : x
  2. Step 2: Convert to fraction form
    14,900.98/20,565 = 8,528.17/x
  3. Step 3: Cross multiply
    14,900.98x = 20,565 × 8,528.17
  4. Step 4: Simplify right side
    14,900.98x = 175,381,816.05
  5. Step 5: Solve for x
    x = 175,381,816.05/14,900.98
  6. Step 6: Final answer
    x = 11,769.82

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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.