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Finding the Fourth Proportional to 8,823.86, 13,288.62 and 8,036.54

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Solution

The fourth proportional to 8,823.86, 13,288.62 and 8,036.54 is: 12,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.86 : 13,288.62 = 8,036.54 : x
  2. Step 2: Convert to fraction form
    8,823.86/13,288.62 = 8,036.54/x
  3. Step 3: Cross multiply
    8,823.86x = 13,288.62 × 8,036.54
  4. Step 4: Simplify right side
    8,823.86x = 106,794,526.17
  5. Step 5: Solve for x
    x = 106,794,526.17/8,823.86
  6. Step 6: Final answer
    x = 12,102.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.