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Finding the Fourth Proportional to 9,700.70, 14,557.42 and 5,321.23

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Solution

The fourth proportional to 9,700.70, 14,557.42 and 5,321.23 is: 7,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.70 : 14,557.42 = 5,321.23 : x
  2. Step 2: Convert to fraction form
    9,700.70/14,557.42 = 5,321.23/x
  3. Step 3: Cross multiply
    9,700.70x = 14,557.42 × 5,321.23
  4. Step 4: Simplify right side
    9,700.70x = 77,463,380.03
  5. Step 5: Solve for x
    x = 77,463,380.03/9,700.70
  6. Step 6: Final answer
    x = 7,985.34

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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.