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Finding the Fourth Proportional to 4,883.76, 7,323.77 and 1,762.92

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Solution

The fourth proportional to 4,883.76, 7,323.77 and 1,762.92 is: 2,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.76 : 7,323.77 = 1,762.92 : x
  2. Step 2: Convert to fraction form
    4,883.76/7,323.77 = 1,762.92/x
  3. Step 3: Cross multiply
    4,883.76x = 7,323.77 × 1,762.92
  4. Step 4: Simplify right side
    4,883.76x = 12,911,225.02
  5. Step 5: Solve for x
    x = 12,911,225.02/4,883.76
  6. Step 6: Final answer
    x = 2,643.71

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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.