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Finding the Fourth Proportional to 9,735.71, 14,603.04 and 5,573.12

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Solution

The fourth proportional to 9,735.71, 14,603.04 and 5,573.12 is: 8,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.71 : 14,603.04 = 5,573.12 : x
  2. Step 2: Convert to fraction form
    9,735.71/14,603.04 = 5,573.12/x
  3. Step 3: Cross multiply
    9,735.71x = 14,603.04 × 5,573.12
  4. Step 4: Simplify right side
    9,735.71x = 81,384,494.28
  5. Step 5: Solve for x
    x = 81,384,494.28/9,735.71
  6. Step 6: Final answer
    x = 8,359.38

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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.