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Finding the Fourth Proportional to 9,700.16, 14,549.83 and 2,774.66

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Solution

The fourth proportional to 9,700.16, 14,549.83 and 2,774.66 is: 4,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.16 : 14,549.83 = 2,774.66 : x
  2. Step 2: Convert to fraction form
    9,700.16/14,549.83 = 2,774.66/x
  3. Step 3: Cross multiply
    9,700.16x = 14,549.83 × 2,774.66
  4. Step 4: Simplify right side
    9,700.16x = 40,370,751.62
  5. Step 5: Solve for x
    x = 40,370,751.62/9,700.16
  6. Step 6: Final answer
    x = 4,161.87

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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.