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Finding the Fourth Proportional to 11,580.62, 15,981.98 and 6,545.07

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Solution

The fourth proportional to 11,580.62, 15,981.98 and 6,545.07 is: 9,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.62 : 15,981.98 = 6,545.07 : x
  2. Step 2: Convert to fraction form
    11,580.62/15,981.98 = 6,545.07/x
  3. Step 3: Cross multiply
    11,580.62x = 15,981.98 × 6,545.07
  4. Step 4: Simplify right side
    11,580.62x = 104,603,145.11
  5. Step 5: Solve for x
    x = 104,603,145.11/11,580.62
  6. Step 6: Final answer
    x = 9,032.61

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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.