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Finding the Fourth Proportional to 6,516.83, 8,985.16 and 4,417.31

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Solution

The fourth proportional to 6,516.83, 8,985.16 and 4,417.31 is: 6,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.83 : 8,985.16 = 4,417.31 : x
  2. Step 2: Convert to fraction form
    6,516.83/8,985.16 = 4,417.31/x
  3. Step 3: Cross multiply
    6,516.83x = 8,985.16 × 4,417.31
  4. Step 4: Simplify right side
    6,516.83x = 39,690,265.10
  5. Step 5: Solve for x
    x = 39,690,265.10/6,516.83
  6. Step 6: Final answer
    x = 6,090.42

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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.