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Finding the Fourth Proportional to 10,765.85, 14,856.77 and 6,050.12

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Solution

The fourth proportional to 10,765.85, 14,856.77 and 6,050.12 is: 8,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.85 : 14,856.77 = 6,050.12 : x
  2. Step 2: Convert to fraction form
    10,765.85/14,856.77 = 6,050.12/x
  3. Step 3: Cross multiply
    10,765.85x = 14,856.77 × 6,050.12
  4. Step 4: Simplify right side
    10,765.85x = 89,885,182.15
  5. Step 5: Solve for x
    x = 89,885,182.15/10,765.85
  6. Step 6: Final answer
    x = 8,349.11

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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.