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Finding the Fourth Proportional to 9,294.76, 13,946.91 and 6,176.91

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Solution

The fourth proportional to 9,294.76, 13,946.91 and 6,176.91 is: 9,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.76 : 13,946.91 = 6,176.91 : x
  2. Step 2: Convert to fraction form
    9,294.76/13,946.91 = 6,176.91/x
  3. Step 3: Cross multiply
    9,294.76x = 13,946.91 × 6,176.91
  4. Step 4: Simplify right side
    9,294.76x = 86,148,807.85
  5. Step 5: Solve for x
    x = 86,148,807.85/9,294.76
  6. Step 6: Final answer
    x = 9,268.53

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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.