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Finding the Fourth Proportional to 13,730.90, 18,948.13 and 7,443.14

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Solution

The fourth proportional to 13,730.90, 18,948.13 and 7,443.14 is: 10,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.90 : 18,948.13 = 7,443.14 : x
  2. Step 2: Convert to fraction form
    13,730.90/18,948.13 = 7,443.14/x
  3. Step 3: Cross multiply
    13,730.90x = 18,948.13 × 7,443.14
  4. Step 4: Simplify right side
    13,730.90x = 141,033,470.98
  5. Step 5: Solve for x
    x = 141,033,470.98/13,730.90
  6. Step 6: Final answer
    x = 10,271.25

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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.