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Finding the Fourth Proportional to 9,842.71, 14,770.19 and 3,999.32

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Solution

The fourth proportional to 9,842.71, 14,770.19 and 3,999.32 is: 6,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.71 : 14,770.19 = 3,999.32 : x
  2. Step 2: Convert to fraction form
    9,842.71/14,770.19 = 3,999.32/x
  3. Step 3: Cross multiply
    9,842.71x = 14,770.19 × 3,999.32
  4. Step 4: Simplify right side
    9,842.71x = 59,070,741.34
  5. Step 5: Solve for x
    x = 59,070,741.34/9,842.71
  6. Step 6: Final answer
    x = 6,001.47

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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.