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Finding the Fourth Proportional to 22,607.47, 33,904.71 and 7,812.55

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Solution

The fourth proportional to 22,607.47, 33,904.71 and 7,812.55 is: 11,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.47 : 33,904.71 = 7,812.55 : x
  2. Step 2: Convert to fraction form
    22,607.47/33,904.71 = 7,812.55/x
  3. Step 3: Cross multiply
    22,607.47x = 33,904.71 × 7,812.55
  4. Step 4: Simplify right side
    22,607.47x = 264,882,242.11
  5. Step 5: Solve for x
    x = 264,882,242.11/22,607.47
  6. Step 6: Final answer
    x = 11,716.58

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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.