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Finding the Fourth Proportional to 8,486.42, 11,710.10 and 4,709.39

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Solution

The fourth proportional to 8,486.42, 11,710.10 and 4,709.39 is: 6,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.42 : 11,710.10 = 4,709.39 : x
  2. Step 2: Convert to fraction form
    8,486.42/11,710.10 = 4,709.39/x
  3. Step 3: Cross multiply
    8,486.42x = 11,710.10 × 4,709.39
  4. Step 4: Simplify right side
    8,486.42x = 55,147,345.74
  5. Step 5: Solve for x
    x = 55,147,345.74/8,486.42
  6. Step 6: Final answer
    x = 6,498.31

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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.