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Finding the Fourth Proportional to 22,497.51, 33,746.43 and 7,706.55

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Solution

The fourth proportional to 22,497.51, 33,746.43 and 7,706.55 is: 11,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.51 : 33,746.43 = 7,706.55 : x
  2. Step 2: Convert to fraction form
    22,497.51/33,746.43 = 7,706.55/x
  3. Step 3: Cross multiply
    22,497.51x = 33,746.43 × 7,706.55
  4. Step 4: Simplify right side
    22,497.51x = 260,068,550.12
  5. Step 5: Solve for x
    x = 260,068,550.12/22,497.51
  6. Step 6: Final answer
    x = 11,559.88

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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.