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Finding the Fourth Proportional to 8,477.02, 11,705.23 and 5,497.91

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Solution

The fourth proportional to 8,477.02, 11,705.23 and 5,497.91 is: 7,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.02 : 11,705.23 = 5,497.91 : x
  2. Step 2: Convert to fraction form
    8,477.02/11,705.23 = 5,497.91/x
  3. Step 3: Cross multiply
    8,477.02x = 11,705.23 × 5,497.91
  4. Step 4: Simplify right side
    8,477.02x = 64,354,358.15
  5. Step 5: Solve for x
    x = 64,354,358.15/8,477.02
  6. Step 6: Final answer
    x = 7,591.63

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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.