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Finding the Fourth Proportional to 10,319.90, 15,479.85 and 9,794.00

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Solution

The fourth proportional to 10,319.90, 15,479.85 and 9,794.00 is: 14,690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.90 : 15,479.85 = 9,794.00 : x
  2. Step 2: Convert to fraction form
    10,319.90/15,479.85 = 9,794.00/x
  3. Step 3: Cross multiply
    10,319.90x = 15,479.85 × 9,794.00
  4. Step 4: Simplify right side
    10,319.90x = 151,609,573.50
  5. Step 5: Solve for x
    x = 151,609,573.50/10,319.90
  6. Step 6: Final answer
    x = 14,690.99

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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.