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Finding the Fourth Proportional to 13,411.95, 18,507.47 and 7,744.11

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Solution

The fourth proportional to 13,411.95, 18,507.47 and 7,744.11 is: 10,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.95 : 18,507.47 = 7,744.11 : x
  2. Step 2: Convert to fraction form
    13,411.95/18,507.47 = 7,744.11/x
  3. Step 3: Cross multiply
    13,411.95x = 18,507.47 × 7,744.11
  4. Step 4: Simplify right side
    13,411.95x = 143,323,844.78
  5. Step 5: Solve for x
    x = 143,323,844.78/13,411.95
  6. Step 6: Final answer
    x = 10,686.28

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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.