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Finding the Fourth Proportional to 8,486.51, 11,710.49 and 4,709.57

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Solution

The fourth proportional to 8,486.51, 11,710.49 and 4,709.57 is: 6,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.51 : 11,710.49 = 4,709.57 : x
  2. Step 2: Convert to fraction form
    8,486.51/11,710.49 = 4,709.57/x
  3. Step 3: Cross multiply
    8,486.51x = 11,710.49 × 4,709.57
  4. Step 4: Simplify right side
    8,486.51x = 55,151,290.29
  5. Step 5: Solve for x
    x = 55,151,290.29/8,486.51
  6. Step 6: Final answer
    x = 6,498.70

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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.