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Finding the Fourth Proportional to 9,177.78, 13,746.67 and 5,668.67

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Solution

The fourth proportional to 9,177.78, 13,746.67 and 5,668.67 is: 8,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.78 : 13,746.67 = 5,668.67 : x
  2. Step 2: Convert to fraction form
    9,177.78/13,746.67 = 5,668.67/x
  3. Step 3: Cross multiply
    9,177.78x = 13,746.67 × 5,668.67
  4. Step 4: Simplify right side
    9,177.78x = 77,925,376.55
  5. Step 5: Solve for x
    x = 77,925,376.55/9,177.78
  6. Step 6: Final answer
    x = 8,490.66

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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.