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Finding the Fourth Proportional to 9,695.81, 14,515.01 and 5,986.11

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Solution

The fourth proportional to 9,695.81, 14,515.01 and 5,986.11 is: 8,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.81 : 14,515.01 = 5,986.11 : x
  2. Step 2: Convert to fraction form
    9,695.81/14,515.01 = 5,986.11/x
  3. Step 3: Cross multiply
    9,695.81x = 14,515.01 × 5,986.11
  4. Step 4: Simplify right side
    9,695.81x = 86,888,446.51
  5. Step 5: Solve for x
    x = 86,888,446.51/9,695.81
  6. Step 6: Final answer
    x = 8,961.44

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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.