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Finding the Fourth Proportional to 9,179.50, 13,830.96 and 8,302.99

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Solution

The fourth proportional to 9,179.50, 13,830.96 and 8,302.99 is: 12,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.50 : 13,830.96 = 8,302.99 : x
  2. Step 2: Convert to fraction form
    9,179.50/13,830.96 = 8,302.99/x
  3. Step 3: Cross multiply
    9,179.50x = 13,830.96 × 8,302.99
  4. Step 4: Simplify right side
    9,179.50x = 114,838,322.57
  5. Step 5: Solve for x
    x = 114,838,322.57/9,179.50
  6. Step 6: Final answer
    x = 12,510.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.