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Finding the Fourth Proportional to 7,737.56, 11,580.66 and 7,045.82

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Solution

The fourth proportional to 7,737.56, 11,580.66 and 7,045.82 is: 10,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.56 : 11,580.66 = 7,045.82 : x
  2. Step 2: Convert to fraction form
    7,737.56/11,580.66 = 7,045.82/x
  3. Step 3: Cross multiply
    7,737.56x = 11,580.66 × 7,045.82
  4. Step 4: Simplify right side
    7,737.56x = 81,595,245.84
  5. Step 5: Solve for x
    x = 81,595,245.84/7,737.56
  6. Step 6: Final answer
    x = 10,545.35

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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.