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Finding the Fourth Proportional to 13,647.70, 20,470.47 and 4,881.70

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Solution

The fourth proportional to 13,647.70, 20,470.47 and 4,881.70 is: 7,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.70 : 20,470.47 = 4,881.70 : x
  2. Step 2: Convert to fraction form
    13,647.70/20,470.47 = 4,881.70/x
  3. Step 3: Cross multiply
    13,647.70x = 20,470.47 × 4,881.70
  4. Step 4: Simplify right side
    13,647.70x = 99,930,693.40
  5. Step 5: Solve for x
    x = 99,930,693.40/13,647.70
  6. Step 6: Final answer
    x = 7,322.16

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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.