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Finding the Fourth Proportional to 8,071.58, 11,138.10 and 4,927.16

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Solution

The fourth proportional to 8,071.58, 11,138.10 and 4,927.16 is: 6,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.58 : 11,138.10 = 4,927.16 : x
  2. Step 2: Convert to fraction form
    8,071.58/11,138.10 = 4,927.16/x
  3. Step 3: Cross multiply
    8,071.58x = 11,138.10 × 4,927.16
  4. Step 4: Simplify right side
    8,071.58x = 54,879,200.80
  5. Step 5: Solve for x
    x = 54,879,200.80/8,071.58
  6. Step 6: Final answer
    x = 6,799.07

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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.