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Finding the Fourth Proportional to 8,303.77, 12,424.51 and 5,169.09

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Solution

The fourth proportional to 8,303.77, 12,424.51 and 5,169.09 is: 7,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.77 : 12,424.51 = 5,169.09 : x
  2. Step 2: Convert to fraction form
    8,303.77/12,424.51 = 5,169.09/x
  3. Step 3: Cross multiply
    8,303.77x = 12,424.51 × 5,169.09
  4. Step 4: Simplify right side
    8,303.77x = 64,223,457.82
  5. Step 5: Solve for x
    x = 64,223,457.82/8,303.77
  6. Step 6: Final answer
    x = 7,734.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.