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Finding the Fourth Proportional to 7,951.80, 11,954.70 and 6,501.48

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Solution

The fourth proportional to 7,951.80, 11,954.70 and 6,501.48 is: 9,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.80 : 11,954.70 = 6,501.48 : x
  2. Step 2: Convert to fraction form
    7,951.80/11,954.70 = 6,501.48/x
  3. Step 3: Cross multiply
    7,951.80x = 11,954.70 × 6,501.48
  4. Step 4: Simplify right side
    7,951.80x = 77,723,242.96
  5. Step 5: Solve for x
    x = 77,723,242.96/7,951.80
  6. Step 6: Final answer
    x = 9,774.30

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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.