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Finding the Fourth Proportional to 7,148.08, 10,733.99 and 4,823.04

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Solution

The fourth proportional to 7,148.08, 10,733.99 and 4,823.04 is: 7,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.08 : 10,733.99 = 4,823.04 : x
  2. Step 2: Convert to fraction form
    7,148.08/10,733.99 = 4,823.04/x
  3. Step 3: Cross multiply
    7,148.08x = 10,733.99 × 4,823.04
  4. Step 4: Simplify right side
    7,148.08x = 51,770,448.35
  5. Step 5: Solve for x
    x = 51,770,448.35/7,148.08
  6. Step 6: Final answer
    x = 7,242.57

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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.