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Finding the Fourth Proportional to 8,242.76, 11,377.07 and 4,708.02

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Solution

The fourth proportional to 8,242.76, 11,377.07 and 4,708.02 is: 6,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.76 : 11,377.07 = 4,708.02 : x
  2. Step 2: Convert to fraction form
    8,242.76/11,377.07 = 4,708.02/x
  3. Step 3: Cross multiply
    8,242.76x = 11,377.07 × 4,708.02
  4. Step 4: Simplify right side
    8,242.76x = 53,563,467.22
  5. Step 5: Solve for x
    x = 53,563,467.22/8,242.76
  6. Step 6: Final answer
    x = 6,498.25

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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.