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Finding the Fourth Proportional to 5,307.34, 7,914.69 and 4,652.26

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Solution

The fourth proportional to 5,307.34, 7,914.69 and 4,652.26 is: 6,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.34 : 7,914.69 = 4,652.26 : x
  2. Step 2: Convert to fraction form
    5,307.34/7,914.69 = 4,652.26/x
  3. Step 3: Cross multiply
    5,307.34x = 7,914.69 × 4,652.26
  4. Step 4: Simplify right side
    5,307.34x = 36,821,195.70
  5. Step 5: Solve for x
    x = 36,821,195.70/5,307.34
  6. Step 6: Final answer
    x = 6,937.79

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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.