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Finding the Fourth Proportional to 8,059.32, 12,005.87 and 7,814.50

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Solution

The fourth proportional to 8,059.32, 12,005.87 and 7,814.50 is: 11,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.32 : 12,005.87 = 7,814.50 : x
  2. Step 2: Convert to fraction form
    8,059.32/12,005.87 = 7,814.50/x
  3. Step 3: Cross multiply
    8,059.32x = 12,005.87 × 7,814.50
  4. Step 4: Simplify right side
    8,059.32x = 93,819,879.75
  5. Step 5: Solve for x
    x = 93,819,879.75/8,059.32
  6. Step 6: Final answer
    x = 11,641.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.