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Finding the Fourth Proportional to 22,547.66, 33,824.73 and 6,966.50

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Solution

The fourth proportional to 22,547.66, 33,824.73 and 6,966.50 is: 10,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.66 : 33,824.73 = 6,966.50 : x
  2. Step 2: Convert to fraction form
    22,547.66/33,824.73 = 6,966.50/x
  3. Step 3: Cross multiply
    22,547.66x = 33,824.73 × 6,966.50
  4. Step 4: Simplify right side
    22,547.66x = 235,639,981.55
  5. Step 5: Solve for x
    x = 235,639,981.55/22,547.66
  6. Step 6: Final answer
    x = 10,450.75

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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.