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Finding the Fourth Proportional to 7,664.93, 11,497.47 and 4,200.29

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Solution

The fourth proportional to 7,664.93, 11,497.47 and 4,200.29 is: 6,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.93 : 11,497.47 = 4,200.29 : x
  2. Step 2: Convert to fraction form
    7,664.93/11,497.47 = 4,200.29/x
  3. Step 3: Cross multiply
    7,664.93x = 11,497.47 × 4,200.29
  4. Step 4: Simplify right side
    7,664.93x = 48,292,708.27
  5. Step 5: Solve for x
    x = 48,292,708.27/7,664.93
  6. Step 6: Final answer
    x = 6,300.48

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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.