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Finding the Fourth Proportional to 12,703.22, 17,530.46 and 7,114.22

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Solution

The fourth proportional to 12,703.22, 17,530.46 and 7,114.22 is: 9,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.22 : 17,530.46 = 7,114.22 : x
  2. Step 2: Convert to fraction form
    12,703.22/17,530.46 = 7,114.22/x
  3. Step 3: Cross multiply
    12,703.22x = 17,530.46 × 7,114.22
  4. Step 4: Simplify right side
    12,703.22x = 124,715,518.34
  5. Step 5: Solve for x
    x = 124,715,518.34/12,703.22
  6. Step 6: Final answer
    x = 9,817.63

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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.