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Finding the Fourth Proportional to 10,599, 15,900.24 and 4,357.32

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Solution

The fourth proportional to 10,599, 15,900.24 and 4,357.32 is: 6,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599 : 15,900.24 = 4,357.32 : x
  2. Step 2: Convert to fraction form
    10,599/15,900.24 = 4,357.32/x
  3. Step 3: Cross multiply
    10,599x = 15,900.24 × 4,357.32
  4. Step 4: Simplify right side
    10,599x = 69,282,433.76
  5. Step 5: Solve for x
    x = 69,282,433.76/10,599
  6. Step 6: Final answer
    x = 6,536.70

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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.