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Finding the Fourth Proportional to 6,853.32, 9,459.06 and 4,059.24

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Solution

The fourth proportional to 6,853.32, 9,459.06 and 4,059.24 is: 5,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.32 : 9,459.06 = 4,059.24 : x
  2. Step 2: Convert to fraction form
    6,853.32/9,459.06 = 4,059.24/x
  3. Step 3: Cross multiply
    6,853.32x = 9,459.06 × 4,059.24
  4. Step 4: Simplify right side
    6,853.32x = 38,396,594.71
  5. Step 5: Solve for x
    x = 38,396,594.71/6,853.32
  6. Step 6: Final answer
    x = 5,602.63

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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.