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Finding the Fourth Proportional to 9,794.94, 14,663.25 and 9,445.02

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Solution

The fourth proportional to 9,794.94, 14,663.25 and 9,445.02 is: 14,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.94 : 14,663.25 = 9,445.02 : x
  2. Step 2: Convert to fraction form
    9,794.94/14,663.25 = 9,445.02/x
  3. Step 3: Cross multiply
    9,794.94x = 14,663.25 × 9,445.02
  4. Step 4: Simplify right side
    9,794.94x = 138,494,689.52
  5. Step 5: Solve for x
    x = 138,494,689.52/9,794.94
  6. Step 6: Final answer
    x = 14,139.41

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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.