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Finding the Fourth Proportional to 13,013.40, 19,521.90 and 5,114.40

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Solution

The fourth proportional to 13,013.40, 19,521.90 and 5,114.40 is: 7,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.40 : 19,521.90 = 5,114.40 : x
  2. Step 2: Convert to fraction form
    13,013.40/19,521.90 = 5,114.40/x
  3. Step 3: Cross multiply
    13,013.40x = 19,521.90 × 5,114.40
  4. Step 4: Simplify right side
    13,013.40x = 99,842,805.36
  5. Step 5: Solve for x
    x = 99,842,805.36/13,013.40
  6. Step 6: Final answer
    x = 7,672.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.