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Finding the Fourth Proportional to 9,004.95, 13,505.13 and 6,193.20

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Solution

The fourth proportional to 9,004.95, 13,505.13 and 6,193.20 is: 9,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.95 : 13,505.13 = 6,193.20 : x
  2. Step 2: Convert to fraction form
    9,004.95/13,505.13 = 6,193.20/x
  3. Step 3: Cross multiply
    9,004.95x = 13,505.13 × 6,193.20
  4. Step 4: Simplify right side
    9,004.95x = 83,639,971.12
  5. Step 5: Solve for x
    x = 83,639,971.12/9,004.95
  6. Step 6: Final answer
    x = 9,288.22

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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.