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Finding the Fourth Proportional to 5,669.12, 8,503.01 and 1,509.44

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Solution

The fourth proportional to 5,669.12, 8,503.01 and 1,509.44 is: 2,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.12 : 8,503.01 = 1,509.44 : x
  2. Step 2: Convert to fraction form
    5,669.12/8,503.01 = 1,509.44/x
  3. Step 3: Cross multiply
    5,669.12x = 8,503.01 × 1,509.44
  4. Step 4: Simplify right side
    5,669.12x = 12,834,739.01
  5. Step 5: Solve for x
    x = 12,834,739.01/5,669.12
  6. Step 6: Final answer
    x = 2,263.97

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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.