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Finding the Fourth Proportional to 7,714.08, 11,570.96 and 2,242.08

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Solution

The fourth proportional to 7,714.08, 11,570.96 and 2,242.08 is: 3,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.08 : 11,570.96 = 2,242.08 : x
  2. Step 2: Convert to fraction form
    7,714.08/11,570.96 = 2,242.08/x
  3. Step 3: Cross multiply
    7,714.08x = 11,570.96 × 2,242.08
  4. Step 4: Simplify right side
    7,714.08x = 25,943,018.00
  5. Step 5: Solve for x
    x = 25,943,018.00/7,714.08
  6. Step 6: Final answer
    x = 3,363.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.