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Finding the Fourth Proportional to 11,356.96, 15,674.16 and 6,642.40

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Solution

The fourth proportional to 11,356.96, 15,674.16 and 6,642.40 is: 9,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.96 : 15,674.16 = 6,642.40 : x
  2. Step 2: Convert to fraction form
    11,356.96/15,674.16 = 6,642.40/x
  3. Step 3: Cross multiply
    11,356.96x = 15,674.16 × 6,642.40
  4. Step 4: Simplify right side
    11,356.96x = 104,114,040.38
  5. Step 5: Solve for x
    x = 104,114,040.38/11,356.96
  6. Step 6: Final answer
    x = 9,167.42

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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.