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Finding the Fourth Proportional to 11,244.32, 15,518.08 and 6,209

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Solution

The fourth proportional to 11,244.32, 15,518.08 and 6,209 is: 8,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.32 : 15,518.08 = 6,209 : x
  2. Step 2: Convert to fraction form
    11,244.32/15,518.08 = 6,209/x
  3. Step 3: Cross multiply
    11,244.32x = 15,518.08 × 6,209
  4. Step 4: Simplify right side
    11,244.32x = 96,351,758.72
  5. Step 5: Solve for x
    x = 96,351,758.72/11,244.32
  6. Step 6: Final answer
    x = 8,568.93

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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.