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Finding the Fourth Proportional to 7,741.24, 10,703.88 and 7,616.16

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Solution

The fourth proportional to 7,741.24, 10,703.88 and 7,616.16 is: 10,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.24 : 10,703.88 = 7,616.16 : x
  2. Step 2: Convert to fraction form
    7,741.24/10,703.88 = 7,616.16/x
  3. Step 3: Cross multiply
    7,741.24x = 10,703.88 × 7,616.16
  4. Step 4: Simplify right side
    7,741.24x = 81,522,462.70
  5. Step 5: Solve for x
    x = 81,522,462.70/7,741.24
  6. Step 6: Final answer
    x = 10,530.93

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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.