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Finding the Fourth Proportional to 7,352.57, 10,144.95 and 5,364.23

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Solution

The fourth proportional to 7,352.57, 10,144.95 and 5,364.23 is: 7,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.57 : 10,144.95 = 5,364.23 : x
  2. Step 2: Convert to fraction form
    7,352.57/10,144.95 = 5,364.23/x
  3. Step 3: Cross multiply
    7,352.57x = 10,144.95 × 5,364.23
  4. Step 4: Simplify right side
    7,352.57x = 54,419,774.30
  5. Step 5: Solve for x
    x = 54,419,774.30/7,352.57
  6. Step 6: Final answer
    x = 7,401.46

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Half scale
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Double scale
Find fourth proportional to 7,353.57, 10,146.33 and 5,365.23
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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.