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Finding the Fourth Proportional to 11,012, 15,196.56 and 6,044.32

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Solution

The fourth proportional to 11,012, 15,196.56 and 6,044.32 is: 8,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012 : 15,196.56 = 6,044.32 : x
  2. Step 2: Convert to fraction form
    11,012/15,196.56 = 6,044.32/x
  3. Step 3: Cross multiply
    11,012x = 15,196.56 × 6,044.32
  4. Step 4: Simplify right side
    11,012x = 91,852,871.54
  5. Step 5: Solve for x
    x = 91,852,871.54/11,012
  6. Step 6: Final answer
    x = 8,341.16

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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.