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Finding the Fourth Proportional to 9,834.80, 13,567.71 and 6,646.94

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Solution

The fourth proportional to 9,834.80, 13,567.71 and 6,646.94 is: 9,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.80 : 13,567.71 = 6,646.94 : x
  2. Step 2: Convert to fraction form
    9,834.80/13,567.71 = 6,646.94/x
  3. Step 3: Cross multiply
    9,834.80x = 13,567.71 × 6,646.94
  4. Step 4: Simplify right side
    9,834.80x = 90,183,686.47
  5. Step 5: Solve for x
    x = 90,183,686.47/9,834.80
  6. Step 6: Final answer
    x = 9,169.85

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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.