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Finding the Fourth Proportional to 9,973.70, 13,754.11 and 6,564.62

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Solution

The fourth proportional to 9,973.70, 13,754.11 and 6,564.62 is: 9,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.70 : 13,754.11 = 6,564.62 : x
  2. Step 2: Convert to fraction form
    9,973.70/13,754.11 = 6,564.62/x
  3. Step 3: Cross multiply
    9,973.70x = 13,754.11 × 6,564.62
  4. Step 4: Simplify right side
    9,973.70x = 90,290,505.59
  5. Step 5: Solve for x
    x = 90,290,505.59/9,973.70
  6. Step 6: Final answer
    x = 9,052.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.