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Finding the Fourth Proportional to 22,603.74, 33,894.68 and 7,807.47

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Solution

The fourth proportional to 22,603.74, 33,894.68 and 7,807.47 is: 11,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.74 : 33,894.68 = 7,807.47 : x
  2. Step 2: Convert to fraction form
    22,603.74/33,894.68 = 7,807.47/x
  3. Step 3: Cross multiply
    22,603.74x = 33,894.68 × 7,807.47
  4. Step 4: Simplify right side
    22,603.74x = 264,631,658.22
  5. Step 5: Solve for x
    x = 264,631,658.22/22,603.74
  6. Step 6: Final answer
    x = 11,707.43

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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.