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Finding the Fourth Proportional to 7,906.42, 10,907.73 and 4,762.18

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Solution

The fourth proportional to 7,906.42, 10,907.73 and 4,762.18 is: 6,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.42 : 10,907.73 = 4,762.18 : x
  2. Step 2: Convert to fraction form
    7,906.42/10,907.73 = 4,762.18/x
  3. Step 3: Cross multiply
    7,906.42x = 10,907.73 × 4,762.18
  4. Step 4: Simplify right side
    7,906.42x = 51,944,573.65
  5. Step 5: Solve for x
    x = 51,944,573.65/7,906.42
  6. Step 6: Final answer
    x = 6,569.92

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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.