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Finding the Fourth Proportional to 9,054.75, 13,582.08 and 5,497.77

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Solution

The fourth proportional to 9,054.75, 13,582.08 and 5,497.77 is: 8,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.75 : 13,582.08 = 5,497.77 : x
  2. Step 2: Convert to fraction form
    9,054.75/13,582.08 = 5,497.77/x
  3. Step 3: Cross multiply
    9,054.75x = 13,582.08 × 5,497.77
  4. Step 4: Simplify right side
    9,054.75x = 74,671,151.96
  5. Step 5: Solve for x
    x = 74,671,151.96/9,054.75
  6. Step 6: Final answer
    x = 8,246.63

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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.