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Finding the Fourth Proportional to 9,734.99, 14,602.48 and 5,572.09

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Solution

The fourth proportional to 9,734.99, 14,602.48 and 5,572.09 is: 8,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.99 : 14,602.48 = 5,572.09 : x
  2. Step 2: Convert to fraction form
    9,734.99/14,602.48 = 5,572.09/x
  3. Step 3: Cross multiply
    9,734.99x = 14,602.48 × 5,572.09
  4. Step 4: Simplify right side
    9,734.99x = 81,366,332.78
  5. Step 5: Solve for x
    x = 81,366,332.78/9,734.99
  6. Step 6: Final answer
    x = 8,358.13

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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.