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Finding the Fourth Proportional to 6,856.56, 9,501.84 and 6,725.28

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Solution

The fourth proportional to 6,856.56, 9,501.84 and 6,725.28 is: 9,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.56 : 9,501.84 = 6,725.28 : x
  2. Step 2: Convert to fraction form
    6,856.56/9,501.84 = 6,725.28/x
  3. Step 3: Cross multiply
    6,856.56x = 9,501.84 × 6,725.28
  4. Step 4: Simplify right side
    6,856.56x = 63,902,534.52
  5. Step 5: Solve for x
    x = 63,902,534.52/6,856.56
  6. Step 6: Final answer
    x = 9,319.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.