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Finding the Fourth Proportional to 25,328.91, 37,970.14 and 9,734.79

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Solution

The fourth proportional to 25,328.91, 37,970.14 and 9,734.79 is: 14,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,328.91 : 37,970.14 = 9,734.79 : x
  2. Step 2: Convert to fraction form
    25,328.91/37,970.14 = 9,734.79/x
  3. Step 3: Cross multiply
    25,328.91x = 37,970.14 × 9,734.79
  4. Step 4: Simplify right side
    25,328.91x = 369,631,339.17
  5. Step 5: Solve for x
    x = 369,631,339.17/25,328.91
  6. Step 6: Final answer
    x = 14,593.26

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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.