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Finding the Fourth Proportional to 10,884.96, 15,024 and 6,696.96

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Solution

The fourth proportional to 10,884.96, 15,024 and 6,696.96 is: 9,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.96 : 15,024 = 6,696.96 : x
  2. Step 2: Convert to fraction form
    10,884.96/15,024 = 6,696.96/x
  3. Step 3: Cross multiply
    10,884.96x = 15,024 × 6,696.96
  4. Step 4: Simplify right side
    10,884.96x = 100,615,127.04
  5. Step 5: Solve for x
    x = 100,615,127.04/10,884.96
  6. Step 6: Final answer
    x = 9,243.50

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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.