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Finding the Fourth Proportional to 9,024.30, 13,529.16 and 8,295.30

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Solution

The fourth proportional to 9,024.30, 13,529.16 and 8,295.30 is: 12,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.30 : 13,529.16 = 8,295.30 : x
  2. Step 2: Convert to fraction form
    9,024.30/13,529.16 = 8,295.30/x
  3. Step 3: Cross multiply
    9,024.30x = 13,529.16 × 8,295.30
  4. Step 4: Simplify right side
    9,024.30x = 112,228,440.95
  5. Step 5: Solve for x
    x = 112,228,440.95/9,024.30
  6. Step 6: Final answer
    x = 12,436.25

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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.