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Finding the Fourth Proportional to 9,352.99, 12,908.51 and 6,165.82

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Solution

The fourth proportional to 9,352.99, 12,908.51 and 6,165.82 is: 8,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.99 : 12,908.51 = 6,165.82 : x
  2. Step 2: Convert to fraction form
    9,352.99/12,908.51 = 6,165.82/x
  3. Step 3: Cross multiply
    9,352.99x = 12,908.51 × 6,165.82
  4. Step 4: Simplify right side
    9,352.99x = 79,591,549.13
  5. Step 5: Solve for x
    x = 79,591,549.13/9,352.99
  6. Step 6: Final answer
    x = 8,509.74

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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.