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Finding the Fourth Proportional to 27,267.84, 40,903.92 and 7,277.40

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Solution

The fourth proportional to 27,267.84, 40,903.92 and 7,277.40 is: 10,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,267.84 : 40,903.92 = 7,277.40 : x
  2. Step 2: Convert to fraction form
    27,267.84/40,903.92 = 7,277.40/x
  3. Step 3: Cross multiply
    27,267.84x = 40,903.92 × 7,277.40
  4. Step 4: Simplify right side
    27,267.84x = 297,674,187.41
  5. Step 5: Solve for x
    x = 297,674,187.41/27,267.84
  6. Step 6: Final answer
    x = 10,916.68

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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.