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Finding the Fourth Proportional to 7,899.90, 10,901.64 and 5,207.82

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Solution

The fourth proportional to 7,899.90, 10,901.64 and 5,207.82 is: 7,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.90 : 10,901.64 = 5,207.82 : x
  2. Step 2: Convert to fraction form
    7,899.90/10,901.64 = 5,207.82/x
  3. Step 3: Cross multiply
    7,899.90x = 10,901.64 × 5,207.82
  4. Step 4: Simplify right side
    7,899.90x = 56,773,778.82
  5. Step 5: Solve for x
    x = 56,773,778.82/7,899.90
  6. Step 6: Final answer
    x = 7,186.65

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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.