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Finding the Fourth Proportional to 9,706.77, 14,560.15 and 7,749.81

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Solution

The fourth proportional to 9,706.77, 14,560.15 and 7,749.81 is: 11,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.77 : 14,560.15 = 7,749.81 : x
  2. Step 2: Convert to fraction form
    9,706.77/14,560.15 = 7,749.81/x
  3. Step 3: Cross multiply
    9,706.77x = 14,560.15 × 7,749.81
  4. Step 4: Simplify right side
    9,706.77x = 112,838,396.07
  5. Step 5: Solve for x
    x = 112,838,396.07/9,706.77
  6. Step 6: Final answer
    x = 11,624.71

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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.