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Finding the Fourth Proportional to 7,614.63, 10,504.89 and 4,780.08

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Solution

The fourth proportional to 7,614.63, 10,504.89 and 4,780.08 is: 6,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.63 : 10,504.89 = 4,780.08 : x
  2. Step 2: Convert to fraction form
    7,614.63/10,504.89 = 4,780.08/x
  3. Step 3: Cross multiply
    7,614.63x = 10,504.89 × 4,780.08
  4. Step 4: Simplify right side
    7,614.63x = 50,214,214.59
  5. Step 5: Solve for x
    x = 50,214,214.59/7,614.63
  6. Step 6: Final answer
    x = 6,594.44

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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.