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Finding the Fourth Proportional to 5,574.90, 8,346.15 and 5,412.90

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Solution

The fourth proportional to 5,574.90, 8,346.15 and 5,412.90 is: 8,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.90 : 8,346.15 = 5,412.90 : x
  2. Step 2: Convert to fraction form
    5,574.90/8,346.15 = 5,412.90/x
  3. Step 3: Cross multiply
    5,574.90x = 8,346.15 × 5,412.90
  4. Step 4: Simplify right side
    5,574.90x = 45,176,875.34
  5. Step 5: Solve for x
    x = 45,176,875.34/5,574.90
  6. Step 6: Final answer
    x = 8,103.62

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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.