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Finding the Fourth Proportional to 7,102.96, 9,801.88 and 4,451.83

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Solution

The fourth proportional to 7,102.96, 9,801.88 and 4,451.83 is: 6,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.96 : 9,801.88 = 4,451.83 : x
  2. Step 2: Convert to fraction form
    7,102.96/9,801.88 = 4,451.83/x
  3. Step 3: Cross multiply
    7,102.96x = 9,801.88 × 4,451.83
  4. Step 4: Simplify right side
    7,102.96x = 43,636,303.44
  5. Step 5: Solve for x
    x = 43,636,303.44/7,102.96
  6. Step 6: Final answer
    x = 6,143.40

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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.