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Finding the Fourth Proportional to 10,597, 15,895.50 and 3,301

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Solution

The fourth proportional to 10,597, 15,895.50 and 3,301 is: 4,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597 : 15,895.50 = 3,301 : x
  2. Step 2: Convert to fraction form
    10,597/15,895.50 = 3,301/x
  3. Step 3: Cross multiply
    10,597x = 15,895.50 × 3,301
  4. Step 4: Simplify right side
    10,597x = 52,471,045.50
  5. Step 5: Solve for x
    x = 52,471,045.50/10,597
  6. Step 6: Final answer
    x = 4,951.50

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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.