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Finding the Fourth Proportional to 10,594, 15,883.98 and 5,048.20

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Solution

The fourth proportional to 10,594, 15,883.98 and 5,048.20 is: 7,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594 : 15,883.98 = 5,048.20 : x
  2. Step 2: Convert to fraction form
    10,594/15,883.98 = 5,048.20/x
  3. Step 3: Cross multiply
    10,594x = 15,883.98 × 5,048.20
  4. Step 4: Simplify right side
    10,594x = 80,185,507.84
  5. Step 5: Solve for x
    x = 80,185,507.84/10,594
  6. Step 6: Final answer
    x = 7,568.95

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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.