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Finding the Fourth Proportional to 22,904.64, 34,356.42 and 7,322.40

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Solution

The fourth proportional to 22,904.64, 34,356.42 and 7,322.40 is: 10,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.64 : 34,356.42 = 7,322.40 : x
  2. Step 2: Convert to fraction form
    22,904.64/34,356.42 = 7,322.40/x
  3. Step 3: Cross multiply
    22,904.64x = 34,356.42 × 7,322.40
  4. Step 4: Simplify right side
    22,904.64x = 251,571,449.81
  5. Step 5: Solve for x
    x = 251,571,449.81/22,904.64
  6. Step 6: Final answer
    x = 10,983.43

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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.