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Finding the Fourth Proportional to 9,805.95, 14,707.36 and 8,150.70

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Solution

The fourth proportional to 9,805.95, 14,707.36 and 8,150.70 is: 12,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.95 : 14,707.36 = 8,150.70 : x
  2. Step 2: Convert to fraction form
    9,805.95/14,707.36 = 8,150.70/x
  3. Step 3: Cross multiply
    9,805.95x = 14,707.36 × 8,150.70
  4. Step 4: Simplify right side
    9,805.95x = 119,875,279.15
  5. Step 5: Solve for x
    x = 119,875,279.15/9,805.95
  6. Step 6: Final answer
    x = 12,224.75

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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.