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Finding the Fourth Proportional to 7,570.75, 10,449.09 and 4,258.75

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Solution

The fourth proportional to 7,570.75, 10,449.09 and 4,258.75 is: 5,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.75 : 10,449.09 = 4,258.75 : x
  2. Step 2: Convert to fraction form
    7,570.75/10,449.09 = 4,258.75/x
  3. Step 3: Cross multiply
    7,570.75x = 10,449.09 × 4,258.75
  4. Step 4: Simplify right side
    7,570.75x = 44,500,062.04
  5. Step 5: Solve for x
    x = 44,500,062.04/7,570.75
  6. Step 6: Final answer
    x = 5,877.89

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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.