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Finding the Fourth Proportional to 15,886.72, 23,829.06 and 6,524.32

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Solution

The fourth proportional to 15,886.72, 23,829.06 and 6,524.32 is: 9,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.72 : 23,829.06 = 6,524.32 : x
  2. Step 2: Convert to fraction form
    15,886.72/23,829.06 = 6,524.32/x
  3. Step 3: Cross multiply
    15,886.72x = 23,829.06 × 6,524.32
  4. Step 4: Simplify right side
    15,886.72x = 155,468,412.74
  5. Step 5: Solve for x
    x = 155,468,412.74/15,886.72
  6. Step 6: Final answer
    x = 9,786.06

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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.