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Finding the Fourth Proportional to 7,108.46, 9,807.63 and 4,590.68

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Solution

The fourth proportional to 7,108.46, 9,807.63 and 4,590.68 is: 6,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.46 : 9,807.63 = 4,590.68 : x
  2. Step 2: Convert to fraction form
    7,108.46/9,807.63 = 4,590.68/x
  3. Step 3: Cross multiply
    7,108.46x = 9,807.63 × 4,590.68
  4. Step 4: Simplify right side
    7,108.46x = 45,023,650.46
  5. Step 5: Solve for x
    x = 45,023,650.46/7,108.46
  6. Step 6: Final answer
    x = 6,333.81

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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.