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Finding the Fourth Proportional to 4,898.81, 6,762.30 and 3,407.60

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Solution

The fourth proportional to 4,898.81, 6,762.30 and 3,407.60 is: 4,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.81 : 6,762.30 = 3,407.60 : x
  2. Step 2: Convert to fraction form
    4,898.81/6,762.30 = 3,407.60/x
  3. Step 3: Cross multiply
    4,898.81x = 6,762.30 × 3,407.60
  4. Step 4: Simplify right side
    4,898.81x = 23,043,175.41
  5. Step 5: Solve for x
    x = 23,043,175.41/4,898.81
  6. Step 6: Final answer
    x = 4,703.83

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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.