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Finding the Fourth Proportional to 9,849.99, 13,592.99 and 6,313.20

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Solution

The fourth proportional to 9,849.99, 13,592.99 and 6,313.20 is: 8,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.99 : 13,592.99 = 6,313.20 : x
  2. Step 2: Convert to fraction form
    9,849.99/13,592.99 = 6,313.20/x
  3. Step 3: Cross multiply
    9,849.99x = 13,592.99 × 6,313.20
  4. Step 4: Simplify right side
    9,849.99x = 85,815,280.46
  5. Step 5: Solve for x
    x = 85,815,280.46/9,849.99
  6. Step 6: Final answer
    x = 8,712.22

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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.