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Finding the Fourth Proportional to 9,407.99, 14,109.10 and 6,504.95

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Solution

The fourth proportional to 9,407.99, 14,109.10 and 6,504.95 is: 9,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.99 : 14,109.10 = 6,504.95 : x
  2. Step 2: Convert to fraction form
    9,407.99/14,109.10 = 6,504.95/x
  3. Step 3: Cross multiply
    9,407.99x = 14,109.10 × 6,504.95
  4. Step 4: Simplify right side
    9,407.99x = 91,778,903.24
  5. Step 5: Solve for x
    x = 91,778,903.24/9,407.99
  6. Step 6: Final answer
    x = 9,755.43

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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.