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Finding the Fourth Proportional to 7,047.02, 9,714.49 and 5,365.49

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Solution

The fourth proportional to 7,047.02, 9,714.49 and 5,365.49 is: 7,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.02 : 9,714.49 = 5,365.49 : x
  2. Step 2: Convert to fraction form
    7,047.02/9,714.49 = 5,365.49/x
  3. Step 3: Cross multiply
    7,047.02x = 9,714.49 × 5,365.49
  4. Step 4: Simplify right side
    7,047.02x = 52,122,998.95
  5. Step 5: Solve for x
    x = 52,122,998.95/7,047.02
  6. Step 6: Final answer
    x = 7,396.46

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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.