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Finding the Fourth Proportional to 11,216.84, 15,463.06 and 7,849.22

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Solution

The fourth proportional to 11,216.84, 15,463.06 and 7,849.22 is: 10,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.84 : 15,463.06 = 7,849.22 : x
  2. Step 2: Convert to fraction form
    11,216.84/15,463.06 = 7,849.22/x
  3. Step 3: Cross multiply
    11,216.84x = 15,463.06 × 7,849.22
  4. Step 4: Simplify right side
    11,216.84x = 121,372,959.81
  5. Step 5: Solve for x
    x = 121,372,959.81/11,216.84
  6. Step 6: Final answer
    x = 10,820.60

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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.