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Finding the Fourth Proportional to 6,417.70, 8,856.61 and 3,584.99

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Solution

The fourth proportional to 6,417.70, 8,856.61 and 3,584.99 is: 4,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.70 : 8,856.61 = 3,584.99 : x
  2. Step 2: Convert to fraction form
    6,417.70/8,856.61 = 3,584.99/x
  3. Step 3: Cross multiply
    6,417.70x = 8,856.61 × 3,584.99
  4. Step 4: Simplify right side
    6,417.70x = 31,750,871.46
  5. Step 5: Solve for x
    x = 31,750,871.46/6,417.70
  6. Step 6: Final answer
    x = 4,947.39

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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.