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Finding the Fourth Proportional to 6,417.09, 8,854.95 and 3,584.24

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Solution

The fourth proportional to 6,417.09, 8,854.95 and 3,584.24 is: 4,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.09 : 8,854.95 = 3,584.24 : x
  2. Step 2: Convert to fraction form
    6,417.09/8,854.95 = 3,584.24/x
  3. Step 3: Cross multiply
    6,417.09x = 8,854.95 × 3,584.24
  4. Step 4: Simplify right side
    6,417.09x = 31,738,221.71
  5. Step 5: Solve for x
    x = 31,738,221.71/6,417.09
  6. Step 6: Final answer
    x = 4,945.89

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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.