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Finding the Fourth Proportional to 7,602.70, 11,398.53 and 5,131.42

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Solution

The fourth proportional to 7,602.70, 11,398.53 and 5,131.42 is: 7,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.70 : 11,398.53 = 5,131.42 : x
  2. Step 2: Convert to fraction form
    7,602.70/11,398.53 = 5,131.42/x
  3. Step 3: Cross multiply
    7,602.70x = 11,398.53 × 5,131.42
  4. Step 4: Simplify right side
    7,602.70x = 58,490,644.81
  5. Step 5: Solve for x
    x = 58,490,644.81/7,602.70
  6. Step 6: Final answer
    x = 7,693.40

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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.