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Finding the Fourth Proportional to 9,675.74, 13,348 and 6,089.06

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Solution

The fourth proportional to 9,675.74, 13,348 and 6,089.06 is: 8,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.74 : 13,348 = 6,089.06 : x
  2. Step 2: Convert to fraction form
    9,675.74/13,348 = 6,089.06/x
  3. Step 3: Cross multiply
    9,675.74x = 13,348 × 6,089.06
  4. Step 4: Simplify right side
    9,675.74x = 81,276,772.88
  5. Step 5: Solve for x
    x = 81,276,772.88/9,675.74
  6. Step 6: Final answer
    x = 8,400.06

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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.