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Finding the Fourth Proportional to 9,846.72, 14,770.08 and 4,001.76

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Solution

The fourth proportional to 9,846.72, 14,770.08 and 4,001.76 is: 6,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.72 : 14,770.08 = 4,001.76 : x
  2. Step 2: Convert to fraction form
    9,846.72/14,770.08 = 4,001.76/x
  3. Step 3: Cross multiply
    9,846.72x = 14,770.08 × 4,001.76
  4. Step 4: Simplify right side
    9,846.72x = 59,106,315.34
  5. Step 5: Solve for x
    x = 59,106,315.34/9,846.72
  6. Step 6: Final answer
    x = 6,002.64

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Similar ratio
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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.