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Finding the Fourth Proportional to 9,187.52, 13,783.18 and 4,803.80

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Solution

The fourth proportional to 9,187.52, 13,783.18 and 4,803.80 is: 7,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.52 : 13,783.18 = 4,803.80 : x
  2. Step 2: Convert to fraction form
    9,187.52/13,783.18 = 4,803.80/x
  3. Step 3: Cross multiply
    9,187.52x = 13,783.18 × 4,803.80
  4. Step 4: Simplify right side
    9,187.52x = 66,211,640.08
  5. Step 5: Solve for x
    x = 66,211,640.08/9,187.52
  6. Step 6: Final answer
    x = 7,206.69

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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.