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Finding the Fourth Proportional to 7,178.96, 9,904.92 and 4,306.52

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Solution

The fourth proportional to 7,178.96, 9,904.92 and 4,306.52 is: 5,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.96 : 9,904.92 = 4,306.52 : x
  2. Step 2: Convert to fraction form
    7,178.96/9,904.92 = 4,306.52/x
  3. Step 3: Cross multiply
    7,178.96x = 9,904.92 × 4,306.52
  4. Step 4: Simplify right side
    7,178.96x = 42,655,736.08
  5. Step 5: Solve for x
    x = 42,655,736.08/7,178.96
  6. Step 6: Final answer
    x = 5,941.77

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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.