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Finding the Fourth Proportional to 7,705, 10,632.86 and 4,168.20

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Solution

The fourth proportional to 7,705, 10,632.86 and 4,168.20 is: 5,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705 : 10,632.86 = 4,168.20 : x
  2. Step 2: Convert to fraction form
    7,705/10,632.86 = 4,168.20/x
  3. Step 3: Cross multiply
    7,705x = 10,632.86 × 4,168.20
  4. Step 4: Simplify right side
    7,705x = 44,319,887.05
  5. Step 5: Solve for x
    x = 44,319,887.05/7,705
  6. Step 6: Final answer
    x = 5,752.09

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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.