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Finding the Fourth Proportional to 26,409.70, 39,572.88 and 9,746.80

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Solution

The fourth proportional to 26,409.70, 39,572.88 and 9,746.80 is: 14,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,409.70 : 39,572.88 = 9,746.80 : x
  2. Step 2: Convert to fraction form
    26,409.70/39,572.88 = 9,746.80/x
  3. Step 3: Cross multiply
    26,409.70x = 39,572.88 × 9,746.80
  4. Step 4: Simplify right side
    26,409.70x = 385,708,946.78
  5. Step 5: Solve for x
    x = 385,708,946.78/26,409.70
  6. Step 6: Final answer
    x = 14,604.82

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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.