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Finding the Fourth Proportional to 7,758.79, 10,707.01 and 4,733.22

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Solution

The fourth proportional to 7,758.79, 10,707.01 and 4,733.22 is: 6,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.79 : 10,707.01 = 4,733.22 : x
  2. Step 2: Convert to fraction form
    7,758.79/10,707.01 = 4,733.22/x
  3. Step 3: Cross multiply
    7,758.79x = 10,707.01 × 4,733.22
  4. Step 4: Simplify right side
    7,758.79x = 50,678,633.87
  5. Step 5: Solve for x
    x = 50,678,633.87/7,758.79
  6. Step 6: Final answer
    x = 6,531.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.