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Finding the Fourth Proportional to 13,642.47, 18,826.34 and 7,674.08

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Solution

The fourth proportional to 13,642.47, 18,826.34 and 7,674.08 is: 10,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.47 : 18,826.34 = 7,674.08 : x
  2. Step 2: Convert to fraction form
    13,642.47/18,826.34 = 7,674.08/x
  3. Step 3: Cross multiply
    13,642.47x = 18,826.34 × 7,674.08
  4. Step 4: Simplify right side
    13,642.47x = 144,474,706.77
  5. Step 5: Solve for x
    x = 144,474,706.77/13,642.47
  6. Step 6: Final answer
    x = 10,590.07

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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.