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Finding the Fourth Proportional to 11,477.79, 15,838.05 and 6,440.97

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Solution

The fourth proportional to 11,477.79, 15,838.05 and 6,440.97 is: 8,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.79 : 15,838.05 = 6,440.97 : x
  2. Step 2: Convert to fraction form
    11,477.79/15,838.05 = 6,440.97/x
  3. Step 3: Cross multiply
    11,477.79x = 15,838.05 × 6,440.97
  4. Step 4: Simplify right side
    11,477.79x = 102,012,404.91
  5. Step 5: Solve for x
    x = 102,012,404.91/11,477.79
  6. Step 6: Final answer
    x = 8,887.81

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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.