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Finding the Fourth Proportional to 10,792.70, 14,894.20 and 6,077.15

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Solution

The fourth proportional to 10,792.70, 14,894.20 and 6,077.15 is: 8,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.70 : 14,894.20 = 6,077.15 : x
  2. Step 2: Convert to fraction form
    10,792.70/14,894.20 = 6,077.15/x
  3. Step 3: Cross multiply
    10,792.70x = 14,894.20 × 6,077.15
  4. Step 4: Simplify right side
    10,792.70x = 90,514,197.87
  5. Step 5: Solve for x
    x = 90,514,197.87/10,792.70
  6. Step 6: Final answer
    x = 8,386.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.