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Finding the Fourth Proportional to 4,762.34, 6,569.78 and 2,992.69

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Solution

The fourth proportional to 4,762.34, 6,569.78 and 2,992.69 is: 4,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.34 : 6,569.78 = 2,992.69 : x
  2. Step 2: Convert to fraction form
    4,762.34/6,569.78 = 2,992.69/x
  3. Step 3: Cross multiply
    4,762.34x = 6,569.78 × 2,992.69
  4. Step 4: Simplify right side
    4,762.34x = 19,661,305.97
  5. Step 5: Solve for x
    x = 19,661,305.97/4,762.34
  6. Step 6: Final answer
    x = 4,128.50

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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.