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Finding the Fourth Proportional to 12,878.60, 17,772.16 and 7,573.76

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Solution

The fourth proportional to 12,878.60, 17,772.16 and 7,573.76 is: 10,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.60 : 17,772.16 = 7,573.76 : x
  2. Step 2: Convert to fraction form
    12,878.60/17,772.16 = 7,573.76/x
  3. Step 3: Cross multiply
    12,878.60x = 17,772.16 × 7,573.76
  4. Step 4: Simplify right side
    12,878.60x = 134,602,074.52
  5. Step 5: Solve for x
    x = 134,602,074.52/12,878.60
  6. Step 6: Final answer
    x = 10,451.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.