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Finding the Fourth Proportional to 9,295.95, 12,819.84 and 6,316.23

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Solution

The fourth proportional to 9,295.95, 12,819.84 and 6,316.23 is: 8,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.95 : 12,819.84 = 6,316.23 : x
  2. Step 2: Convert to fraction form
    9,295.95/12,819.84 = 6,316.23/x
  3. Step 3: Cross multiply
    9,295.95x = 12,819.84 × 6,316.23
  4. Step 4: Simplify right side
    9,295.95x = 80,973,058.00
  5. Step 5: Solve for x
    x = 80,973,058.00/9,295.95
  6. Step 6: Final answer
    x = 8,710.57

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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.