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Finding the Fourth Proportional to 9,733.54, 14,605.08 and 6,034.79

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Solution

The fourth proportional to 9,733.54, 14,605.08 and 6,034.79 is: 9,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.54 : 14,605.08 = 6,034.79 : x
  2. Step 2: Convert to fraction form
    9,733.54/14,605.08 = 6,034.79/x
  3. Step 3: Cross multiply
    9,733.54x = 14,605.08 × 6,034.79
  4. Step 4: Simplify right side
    9,733.54x = 88,138,590.73
  5. Step 5: Solve for x
    x = 88,138,590.73/9,733.54
  6. Step 6: Final answer
    x = 9,055.14

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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.