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Finding the Fourth Proportional to 5,746.64, 8,615.01 and 1,997.93

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Solution

The fourth proportional to 5,746.64, 8,615.01 and 1,997.93 is: 2,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.64 : 8,615.01 = 1,997.93 : x
  2. Step 2: Convert to fraction form
    5,746.64/8,615.01 = 1,997.93/x
  3. Step 3: Cross multiply
    5,746.64x = 8,615.01 × 1,997.93
  4. Step 4: Simplify right side
    5,746.64x = 17,212,151.35
  5. Step 5: Solve for x
    x = 17,212,151.35/5,746.64
  6. Step 6: Final answer
    x = 2,995.17

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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.