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Finding the Fourth Proportional to 15,386, 21,232.78 and 9,016.36

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Solution

The fourth proportional to 15,386, 21,232.78 and 9,016.36 is: 12,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386 : 21,232.78 = 9,016.36 : x
  2. Step 2: Convert to fraction form
    15,386/21,232.78 = 9,016.36/x
  3. Step 3: Cross multiply
    15,386x = 21,232.78 × 9,016.36
  4. Step 4: Simplify right side
    15,386x = 191,442,388.28
  5. Step 5: Solve for x
    x = 191,442,388.28/15,386
  6. Step 6: Final answer
    x = 12,442.64

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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.