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Finding the Fourth Proportional to 6,511.66, 8,983.60 and 4,814.24

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Solution

The fourth proportional to 6,511.66, 8,983.60 and 4,814.24 is: 6,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.66 : 8,983.60 = 4,814.24 : x
  2. Step 2: Convert to fraction form
    6,511.66/8,983.60 = 4,814.24/x
  3. Step 3: Cross multiply
    6,511.66x = 8,983.60 × 4,814.24
  4. Step 4: Simplify right side
    6,511.66x = 43,249,206.46
  5. Step 5: Solve for x
    x = 43,249,206.46/6,511.66
  6. Step 6: Final answer
    x = 6,641.81

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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.