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Finding the Fourth Proportional to 27,780.84, 41,671.08 and 7,004.16

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Solution

The fourth proportional to 27,780.84, 41,671.08 and 7,004.16 is: 10,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.84 : 41,671.08 = 7,004.16 : x
  2. Step 2: Convert to fraction form
    27,780.84/41,671.08 = 7,004.16/x
  3. Step 3: Cross multiply
    27,780.84x = 41,671.08 × 7,004.16
  4. Step 4: Simplify right side
    27,780.84x = 291,870,911.69
  5. Step 5: Solve for x
    x = 291,870,911.69/27,780.84
  6. Step 6: Final answer
    x = 10,506.19

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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.