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Finding the Fourth Proportional to 13,604.30, 20,386.98 and 7,748.82

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Solution

The fourth proportional to 13,604.30, 20,386.98 and 7,748.82 is: 11,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.30 : 20,386.98 = 7,748.82 : x
  2. Step 2: Convert to fraction form
    13,604.30/20,386.98 = 7,748.82/x
  3. Step 3: Cross multiply
    13,604.30x = 20,386.98 × 7,748.82
  4. Step 4: Simplify right side
    13,604.30x = 157,975,038.36
  5. Step 5: Solve for x
    x = 157,975,038.36/13,604.30
  6. Step 6: Final answer
    x = 11,612.14

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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.