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Finding the Fourth Proportional to 6,595.76, 9,897.53 and 2,438.71

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Solution

The fourth proportional to 6,595.76, 9,897.53 and 2,438.71 is: 3,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.76 : 9,897.53 = 2,438.71 : x
  2. Step 2: Convert to fraction form
    6,595.76/9,897.53 = 2,438.71/x
  3. Step 3: Cross multiply
    6,595.76x = 9,897.53 × 2,438.71
  4. Step 4: Simplify right side
    6,595.76x = 24,137,168.45
  5. Step 5: Solve for x
    x = 24,137,168.45/6,595.76
  6. Step 6: Final answer
    x = 3,659.50

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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.