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Finding the Fourth Proportional to 7,561.70, 11,342.55 and 2,296.70

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Solution

The fourth proportional to 7,561.70, 11,342.55 and 2,296.70 is: 3,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.70 : 11,342.55 = 2,296.70 : x
  2. Step 2: Convert to fraction form
    7,561.70/11,342.55 = 2,296.70/x
  3. Step 3: Cross multiply
    7,561.70x = 11,342.55 × 2,296.70
  4. Step 4: Simplify right side
    7,561.70x = 26,050,434.59
  5. Step 5: Solve for x
    x = 26,050,434.59/7,561.70
  6. Step 6: Final answer
    x = 3,445.05

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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.