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Finding the Fourth Proportional to 7,758.19, 10,706.11 and 4,355.11

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Solution

The fourth proportional to 7,758.19, 10,706.11 and 4,355.11 is: 6,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.19 : 10,706.11 = 4,355.11 : x
  2. Step 2: Convert to fraction form
    7,758.19/10,706.11 = 4,355.11/x
  3. Step 3: Cross multiply
    7,758.19x = 10,706.11 × 4,355.11
  4. Step 4: Simplify right side
    7,758.19x = 46,626,286.72
  5. Step 5: Solve for x
    x = 46,626,286.72/7,758.19
  6. Step 6: Final answer
    x = 6,009.94

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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.