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Finding the Fourth Proportional to 9,667.54, 13,354.23 and 7,295.46

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Solution

The fourth proportional to 9,667.54, 13,354.23 and 7,295.46 is: 10,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.54 : 13,354.23 = 7,295.46 : x
  2. Step 2: Convert to fraction form
    9,667.54/13,354.23 = 7,295.46/x
  3. Step 3: Cross multiply
    9,667.54x = 13,354.23 × 7,295.46
  4. Step 4: Simplify right side
    9,667.54x = 97,425,250.80
  5. Step 5: Solve for x
    x = 97,425,250.80/9,667.54
  6. Step 6: Final answer
    x = 10,077.56

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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.