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Finding the Fourth Proportional to 7,774.13, 10,728.29 and 4,237.34

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Solution

The fourth proportional to 7,774.13, 10,728.29 and 4,237.34 is: 5,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.13 : 10,728.29 = 4,237.34 : x
  2. Step 2: Convert to fraction form
    7,774.13/10,728.29 = 4,237.34/x
  3. Step 3: Cross multiply
    7,774.13x = 10,728.29 × 4,237.34
  4. Step 4: Simplify right side
    7,774.13x = 45,459,391.16
  5. Step 5: Solve for x
    x = 45,459,391.16/7,774.13
  6. Step 6: Final answer
    x = 5,847.53

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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.