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Finding the Fourth Proportional to 7,213.40, 10,820.10 and 7,051.40

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Solution

The fourth proportional to 7,213.40, 10,820.10 and 7,051.40 is: 10,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.40 : 10,820.10 = 7,051.40 : x
  2. Step 2: Convert to fraction form
    7,213.40/10,820.10 = 7,051.40/x
  3. Step 3: Cross multiply
    7,213.40x = 10,820.10 × 7,051.40
  4. Step 4: Simplify right side
    7,213.40x = 76,296,853.14
  5. Step 5: Solve for x
    x = 76,296,853.14/7,213.40
  6. Step 6: Final answer
    x = 10,577.10

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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.