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Finding the Fourth Proportional to 7,214.58, 9,956.16 and 4,230.46

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Solution

The fourth proportional to 7,214.58, 9,956.16 and 4,230.46 is: 5,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.58 : 9,956.16 = 4,230.46 : x
  2. Step 2: Convert to fraction form
    7,214.58/9,956.16 = 4,230.46/x
  3. Step 3: Cross multiply
    7,214.58x = 9,956.16 × 4,230.46
  4. Step 4: Simplify right side
    7,214.58x = 42,119,149.08
  5. Step 5: Solve for x
    x = 42,119,149.08/7,214.58
  6. Step 6: Final answer
    x = 5,838.06

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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.