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Finding the Fourth Proportional to 8,461.94, 11,672.38 and 5,590.68

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Solution

The fourth proportional to 8,461.94, 11,672.38 and 5,590.68 is: 7,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.94 : 11,672.38 = 5,590.68 : x
  2. Step 2: Convert to fraction form
    8,461.94/11,672.38 = 5,590.68/x
  3. Step 3: Cross multiply
    8,461.94x = 11,672.38 × 5,590.68
  4. Step 4: Simplify right side
    8,461.94x = 65,256,541.42
  5. Step 5: Solve for x
    x = 65,256,541.42/8,461.94
  6. Step 6: Final answer
    x = 7,711.77

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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.