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Finding the Fourth Proportional to 11,574.76, 15,973.16 and 6,269.60

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Solution

The fourth proportional to 11,574.76, 15,973.16 and 6,269.60 is: 8,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.76 : 15,973.16 = 6,269.60 : x
  2. Step 2: Convert to fraction form
    11,574.76/15,973.16 = 6,269.60/x
  3. Step 3: Cross multiply
    11,574.76x = 15,973.16 × 6,269.60
  4. Step 4: Simplify right side
    11,574.76x = 100,145,323.94
  5. Step 5: Solve for x
    x = 100,145,323.94/11,574.76
  6. Step 6: Final answer
    x = 8,652.04

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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.