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Finding the Fourth Proportional to 5,709.44, 8,566.92 and 4,970.45

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Solution

The fourth proportional to 5,709.44, 8,566.92 and 4,970.45 is: 7,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.44 : 8,566.92 = 4,970.45 : x
  2. Step 2: Convert to fraction form
    5,709.44/8,566.92 = 4,970.45/x
  3. Step 3: Cross multiply
    5,709.44x = 8,566.92 × 4,970.45
  4. Step 4: Simplify right side
    5,709.44x = 42,581,404.68
  5. Step 5: Solve for x
    x = 42,581,404.68/5,709.44
  6. Step 6: Final answer
    x = 7,458.08

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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.