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Finding the Fourth Proportional to 13,246.51, 18,280.48 and 7,278.53

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Solution

The fourth proportional to 13,246.51, 18,280.48 and 7,278.53 is: 10,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.51 : 18,280.48 = 7,278.53 : x
  2. Step 2: Convert to fraction form
    13,246.51/18,280.48 = 7,278.53/x
  3. Step 3: Cross multiply
    13,246.51x = 18,280.48 × 7,278.53
  4. Step 4: Simplify right side
    13,246.51x = 133,055,022.09
  5. Step 5: Solve for x
    x = 133,055,022.09/13,246.51
  6. Step 6: Final answer
    x = 10,044.53

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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.