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Finding the Fourth Proportional to 27,854.72, 41,783.08 and 9,135.20

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Solution

The fourth proportional to 27,854.72, 41,783.08 and 9,135.20 is: 13,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.72 : 41,783.08 = 9,135.20 : x
  2. Step 2: Convert to fraction form
    27,854.72/41,783.08 = 9,135.20/x
  3. Step 3: Cross multiply
    27,854.72x = 41,783.08 × 9,135.20
  4. Step 4: Simplify right side
    27,854.72x = 381,696,792.42
  5. Step 5: Solve for x
    x = 381,696,792.42/27,854.72
  6. Step 6: Final answer
    x = 13,703.13

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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.