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Finding the Fourth Proportional to 7,043, 9,714.84 and 4,524.26

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Solution

The fourth proportional to 7,043, 9,714.84 and 4,524.26 is: 6,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043 : 9,714.84 = 4,524.26 : x
  2. Step 2: Convert to fraction form
    7,043/9,714.84 = 4,524.26/x
  3. Step 3: Cross multiply
    7,043x = 9,714.84 × 4,524.26
  4. Step 4: Simplify right side
    7,043x = 43,952,462.02
  5. Step 5: Solve for x
    x = 43,952,462.02/7,043
  6. Step 6: Final answer
    x = 6,240.59

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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.