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Finding the Fourth Proportional to 4,699.64, 7,013.21 and 4,207.57

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Solution

The fourth proportional to 4,699.64, 7,013.21 and 4,207.57 is: 6,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.64 : 7,013.21 = 4,207.57 : x
  2. Step 2: Convert to fraction form
    4,699.64/7,013.21 = 4,207.57/x
  3. Step 3: Cross multiply
    4,699.64x = 7,013.21 × 4,207.57
  4. Step 4: Simplify right side
    4,699.64x = 29,508,533.43
  5. Step 5: Solve for x
    x = 29,508,533.43/4,699.64
  6. Step 6: Final answer
    x = 6,278.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.