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Finding the Fourth Proportional to 6,866.82, 9,461.10 and 4,849.32

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Solution

The fourth proportional to 6,866.82, 9,461.10 and 4,849.32 is: 6,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.82 : 9,461.10 = 4,849.32 : x
  2. Step 2: Convert to fraction form
    6,866.82/9,461.10 = 4,849.32/x
  3. Step 3: Cross multiply
    6,866.82x = 9,461.10 × 4,849.32
  4. Step 4: Simplify right side
    6,866.82x = 45,879,901.45
  5. Step 5: Solve for x
    x = 45,879,901.45/6,866.82
  6. Step 6: Final answer
    x = 6,681.39

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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.