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Finding the Fourth Proportional to 10,873.95, 15,009.62 and 9,922.47

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Solution

The fourth proportional to 10,873.95, 15,009.62 and 9,922.47 is: 13,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.95 : 15,009.62 = 9,922.47 : x
  2. Step 2: Convert to fraction form
    10,873.95/15,009.62 = 9,922.47/x
  3. Step 3: Cross multiply
    10,873.95x = 15,009.62 × 9,922.47
  4. Step 4: Simplify right side
    10,873.95x = 148,932,454.55
  5. Step 5: Solve for x
    x = 148,932,454.55/10,873.95
  6. Step 6: Final answer
    x = 13,696.26

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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.