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Finding the Fourth Proportional to 10,209.84, 15,294.26 and 4,655.54

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Solution

The fourth proportional to 10,209.84, 15,294.26 and 4,655.54 is: 6,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.84 : 15,294.26 = 4,655.54 : x
  2. Step 2: Convert to fraction form
    10,209.84/15,294.26 = 4,655.54/x
  3. Step 3: Cross multiply
    10,209.84x = 15,294.26 × 4,655.54
  4. Step 4: Simplify right side
    10,209.84x = 71,203,039.20
  5. Step 5: Solve for x
    x = 71,203,039.20/10,209.84
  6. Step 6: Final answer
    x = 6,973.96

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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.