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Finding the Fourth Proportional to 4,461.98, 6,693.95 and 1,829.50

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Solution

The fourth proportional to 4,461.98, 6,693.95 and 1,829.50 is: 2,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.98 : 6,693.95 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    4,461.98/6,693.95 = 1,829.50/x
  3. Step 3: Cross multiply
    4,461.98x = 6,693.95 × 1,829.50
  4. Step 4: Simplify right side
    4,461.98x = 12,246,581.53
  5. Step 5: Solve for x
    x = 12,246,581.53/4,461.98
  6. Step 6: Final answer
    x = 2,744.65

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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.