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Finding the Fourth Proportional to 10,738.80, 14,820.03 and 6,023.39

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Solution

The fourth proportional to 10,738.80, 14,820.03 and 6,023.39 is: 8,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.80 : 14,820.03 = 6,023.39 : x
  2. Step 2: Convert to fraction form
    10,738.80/14,820.03 = 6,023.39/x
  3. Step 3: Cross multiply
    10,738.80x = 14,820.03 × 6,023.39
  4. Step 4: Simplify right side
    10,738.80x = 89,266,746.40
  5. Step 5: Solve for x
    x = 89,266,746.40/10,738.80
  6. Step 6: Final answer
    x = 8,312.54

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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.