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Finding the Fourth Proportional to 5,164.56, 7,117.56 and 4,325.40

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Solution

The fourth proportional to 5,164.56, 7,117.56 and 4,325.40 is: 5,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.56 : 7,117.56 = 4,325.40 : x
  2. Step 2: Convert to fraction form
    5,164.56/7,117.56 = 4,325.40/x
  3. Step 3: Cross multiply
    5,164.56x = 7,117.56 × 4,325.40
  4. Step 4: Simplify right side
    5,164.56x = 30,786,294.02
  5. Step 5: Solve for x
    x = 30,786,294.02/5,164.56
  6. Step 6: Final answer
    x = 5,961.07

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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.