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Finding the Fourth Proportional to 9,707.77, 14,561.65 and 7,750.81

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Solution

The fourth proportional to 9,707.77, 14,561.65 and 7,750.81 is: 11,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.77 : 14,561.65 = 7,750.81 : x
  2. Step 2: Convert to fraction form
    9,707.77/14,561.65 = 7,750.81/x
  3. Step 3: Cross multiply
    9,707.77x = 14,561.65 × 7,750.81
  4. Step 4: Simplify right side
    9,707.77x = 112,864,582.44
  5. Step 5: Solve for x
    x = 112,864,582.44/9,707.77
  6. Step 6: Final answer
    x = 11,626.21

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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.