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Finding the Fourth Proportional to 9,849.70, 13,593.40 and 5,602.10

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Solution

The fourth proportional to 9,849.70, 13,593.40 and 5,602.10 is: 7,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.70 : 13,593.40 = 5,602.10 : x
  2. Step 2: Convert to fraction form
    9,849.70/13,593.40 = 5,602.10/x
  3. Step 3: Cross multiply
    9,849.70x = 13,593.40 × 5,602.10
  4. Step 4: Simplify right side
    9,849.70x = 76,151,586.14
  5. Step 5: Solve for x
    x = 76,151,586.14/9,849.70
  6. Step 6: Final answer
    x = 7,731.36

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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.