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Finding the Fourth Proportional to 6,538.52, 9,023.16 and 3,706.08

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Solution

The fourth proportional to 6,538.52, 9,023.16 and 3,706.08 is: 5,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.52 : 9,023.16 = 3,706.08 : x
  2. Step 2: Convert to fraction form
    6,538.52/9,023.16 = 3,706.08/x
  3. Step 3: Cross multiply
    6,538.52x = 9,023.16 × 3,706.08
  4. Step 4: Simplify right side
    6,538.52x = 33,440,552.81
  5. Step 5: Solve for x
    x = 33,440,552.81/6,538.52
  6. Step 6: Final answer
    x = 5,114.40

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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.