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Finding the Fourth Proportional to 7,709.77, 10,641.47 and 5,027.67

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Solution

The fourth proportional to 7,709.77, 10,641.47 and 5,027.67 is: 6,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.77 : 10,641.47 = 5,027.67 : x
  2. Step 2: Convert to fraction form
    7,709.77/10,641.47 = 5,027.67/x
  3. Step 3: Cross multiply
    7,709.77x = 10,641.47 × 5,027.67
  4. Step 4: Simplify right side
    7,709.77x = 53,501,802.62
  5. Step 5: Solve for x
    x = 53,501,802.62/7,709.77
  6. Step 6: Final answer
    x = 6,939.48

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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.