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Finding the Fourth Proportional to 9,842.70, 14,744.39 and 6,714.95

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Solution

The fourth proportional to 9,842.70, 14,744.39 and 6,714.95 is: 10,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.70 : 14,744.39 = 6,714.95 : x
  2. Step 2: Convert to fraction form
    9,842.70/14,744.39 = 6,714.95/x
  3. Step 3: Cross multiply
    9,842.70x = 14,744.39 × 6,714.95
  4. Step 4: Simplify right side
    9,842.70x = 99,007,734.33
  5. Step 5: Solve for x
    x = 99,007,734.33/9,842.70
  6. Step 6: Final answer
    x = 10,059.00

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1.5x scale

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.