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Finding the Fourth Proportional to 9,853.47, 14,769.87 and 3,277.89

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Solution

The fourth proportional to 9,853.47, 14,769.87 and 3,277.89 is: 4,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.47 : 14,769.87 = 3,277.89 : x
  2. Step 2: Convert to fraction form
    9,853.47/14,769.87 = 3,277.89/x
  3. Step 3: Cross multiply
    9,853.47x = 14,769.87 × 3,277.89
  4. Step 4: Simplify right side
    9,853.47x = 48,414,009.17
  5. Step 5: Solve for x
    x = 48,414,009.17/9,853.47
  6. Step 6: Final answer
    x = 4,913.40

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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.