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Finding the Fourth Proportional to 25,314.52, 37,975.02 and 9,730.12

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Solution

The fourth proportional to 25,314.52, 37,975.02 and 9,730.12 is: 14,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,314.52 : 37,975.02 = 9,730.12 : x
  2. Step 2: Convert to fraction form
    25,314.52/37,975.02 = 9,730.12/x
  3. Step 3: Cross multiply
    25,314.52x = 37,975.02 × 9,730.12
  4. Step 4: Simplify right side
    25,314.52x = 369,501,501.60
  5. Step 5: Solve for x
    x = 369,501,501.60/25,314.52
  6. Step 6: Final answer
    x = 14,596.43

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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.