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Finding the Fourth Proportional to 13,503.66, 20,255.40 and 4,143.66

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Solution

The fourth proportional to 13,503.66, 20,255.40 and 4,143.66 is: 6,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.66 : 20,255.40 = 4,143.66 : x
  2. Step 2: Convert to fraction form
    13,503.66/20,255.40 = 4,143.66/x
  3. Step 3: Cross multiply
    13,503.66x = 20,255.40 × 4,143.66
  4. Step 4: Simplify right side
    13,503.66x = 83,931,490.76
  5. Step 5: Solve for x
    x = 83,931,490.76/13,503.66
  6. Step 6: Final answer
    x = 6,215.46

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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.