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Finding the Fourth Proportional to 9,891.14, 14,825.16 and 8,045.55

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Solution

The fourth proportional to 9,891.14, 14,825.16 and 8,045.55 is: 12,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.14 : 14,825.16 = 8,045.55 : x
  2. Step 2: Convert to fraction form
    9,891.14/14,825.16 = 8,045.55/x
  3. Step 3: Cross multiply
    9,891.14x = 14,825.16 × 8,045.55
  4. Step 4: Simplify right side
    9,891.14x = 119,276,566.04
  5. Step 5: Solve for x
    x = 119,276,566.04/9,891.14
  6. Step 6: Final answer
    x = 12,058.94

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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.