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Finding the Fourth Proportional to 6,792.50, 9,389.34 and 5,666.88

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Solution

The fourth proportional to 6,792.50, 9,389.34 and 5,666.88 is: 7,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.50 : 9,389.34 = 5,666.88 : x
  2. Step 2: Convert to fraction form
    6,792.50/9,389.34 = 5,666.88/x
  3. Step 3: Cross multiply
    6,792.50x = 9,389.34 × 5,666.88
  4. Step 4: Simplify right side
    6,792.50x = 53,208,263.06
  5. Step 5: Solve for x
    x = 53,208,263.06/6,792.50
  6. Step 6: Final answer
    x = 7,833.38

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Half scale
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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.