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Finding the Fourth Proportional to 10,709.64, 16,047.18 and 6,597

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Solution

The fourth proportional to 10,709.64, 16,047.18 and 6,597 is: 9,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.64 : 16,047.18 = 6,597 : x
  2. Step 2: Convert to fraction form
    10,709.64/16,047.18 = 6,597/x
  3. Step 3: Cross multiply
    10,709.64x = 16,047.18 × 6,597
  4. Step 4: Simplify right side
    10,709.64x = 105,863,246.46
  5. Step 5: Solve for x
    x = 105,863,246.46/10,709.64
  6. Step 6: Final answer
    x = 9,884.86

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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.