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Finding the Fourth Proportional to 7,460.52, 10,306.64 and 4,914.32

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Solution

The fourth proportional to 7,460.52, 10,306.64 and 4,914.32 is: 6,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.52 : 10,306.64 = 4,914.32 : x
  2. Step 2: Convert to fraction form
    7,460.52/10,306.64 = 4,914.32/x
  3. Step 3: Cross multiply
    7,460.52x = 10,306.64 × 4,914.32
  4. Step 4: Simplify right side
    7,460.52x = 50,650,127.08
  5. Step 5: Solve for x
    x = 50,650,127.08/7,460.52
  6. Step 6: Final answer
    x = 6,789.09

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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.