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Finding the Fourth Proportional to 6,684.72, 9,225.24 and 4,033

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Solution

The fourth proportional to 6,684.72, 9,225.24 and 4,033 is: 5,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.72 : 9,225.24 = 4,033 : x
  2. Step 2: Convert to fraction form
    6,684.72/9,225.24 = 4,033/x
  3. Step 3: Cross multiply
    6,684.72x = 9,225.24 × 4,033
  4. Step 4: Simplify right side
    6,684.72x = 37,205,392.92
  5. Step 5: Solve for x
    x = 37,205,392.92/6,684.72
  6. Step 6: Final answer
    x = 5,565.74

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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.