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Finding the Fourth Proportional to 9,468.63, 13,064.09 and 6,111.59

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Solution

The fourth proportional to 9,468.63, 13,064.09 and 6,111.59 is: 8,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.63 : 13,064.09 = 6,111.59 : x
  2. Step 2: Convert to fraction form
    9,468.63/13,064.09 = 6,111.59/x
  3. Step 3: Cross multiply
    9,468.63x = 13,064.09 × 6,111.59
  4. Step 4: Simplify right side
    9,468.63x = 79,842,265.92
  5. Step 5: Solve for x
    x = 79,842,265.92/9,468.63
  6. Step 6: Final answer
    x = 8,432.29

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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.