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Finding the Fourth Proportional to 5,632.64, 7,754.88 and 4,636.22

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Solution

The fourth proportional to 5,632.64, 7,754.88 and 4,636.22 is: 6,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.64 : 7,754.88 = 4,636.22 : x
  2. Step 2: Convert to fraction form
    5,632.64/7,754.88 = 4,636.22/x
  3. Step 3: Cross multiply
    5,632.64x = 7,754.88 × 4,636.22
  4. Step 4: Simplify right side
    5,632.64x = 35,953,329.75
  5. Step 5: Solve for x
    x = 35,953,329.75/5,632.64
  6. Step 6: Final answer
    x = 6,383.03

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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.