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Finding the Fourth Proportional to 6,710.68, 9,258.82 and 4,056.16

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Solution

The fourth proportional to 6,710.68, 9,258.82 and 4,056.16 is: 5,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.68 : 9,258.82 = 4,056.16 : x
  2. Step 2: Convert to fraction form
    6,710.68/9,258.82 = 4,056.16/x
  3. Step 3: Cross multiply
    6,710.68x = 9,258.82 × 4,056.16
  4. Step 4: Simplify right side
    6,710.68x = 37,555,255.33
  5. Step 5: Solve for x
    x = 37,555,255.33/6,710.68
  6. Step 6: Final answer
    x = 5,596.34

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Half scale
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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.