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Finding the Fourth Proportional to 12,384.95, 17,091.23 and 6,795.95

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Solution

The fourth proportional to 12,384.95, 17,091.23 and 6,795.95 is: 9,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.95 : 17,091.23 = 6,795.95 : x
  2. Step 2: Convert to fraction form
    12,384.95/17,091.23 = 6,795.95/x
  3. Step 3: Cross multiply
    12,384.95x = 17,091.23 × 6,795.95
  4. Step 4: Simplify right side
    12,384.95x = 116,151,025.08
  5. Step 5: Solve for x
    x = 116,151,025.08/12,384.95
  6. Step 6: Final answer
    x = 9,378.40

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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.