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Finding the Fourth Proportional to 9,064.77, 13,584.02 and 6,437.42

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Solution

The fourth proportional to 9,064.77, 13,584.02 and 6,437.42 is: 9,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.77 : 13,584.02 = 6,437.42 : x
  2. Step 2: Convert to fraction form
    9,064.77/13,584.02 = 6,437.42/x
  3. Step 3: Cross multiply
    9,064.77x = 13,584.02 × 6,437.42
  4. Step 4: Simplify right side
    9,064.77x = 87,446,078.32
  5. Step 5: Solve for x
    x = 87,446,078.32/9,064.77
  6. Step 6: Final answer
    x = 9,646.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.