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Finding the Fourth Proportional to 6,400.98, 9,647.73 and 6,043.50

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Solution

The fourth proportional to 6,400.98, 9,647.73 and 6,043.50 is: 9,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.98 : 9,647.73 = 6,043.50 : x
  2. Step 2: Convert to fraction form
    6,400.98/9,647.73 = 6,043.50/x
  3. Step 3: Cross multiply
    6,400.98x = 9,647.73 × 6,043.50
  4. Step 4: Simplify right side
    6,400.98x = 58,306,056.26
  5. Step 5: Solve for x
    x = 58,306,056.26/6,400.98
  6. Step 6: Final answer
    x = 9,108.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.