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Finding the Fourth Proportional to 6,307.74, 9,462.53 and 1,924.63

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Solution

The fourth proportional to 6,307.74, 9,462.53 and 1,924.63 is: 2,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.74 : 9,462.53 = 1,924.63 : x
  2. Step 2: Convert to fraction form
    6,307.74/9,462.53 = 1,924.63/x
  3. Step 3: Cross multiply
    6,307.74x = 9,462.53 × 1,924.63
  4. Step 4: Simplify right side
    6,307.74x = 18,211,835.83
  5. Step 5: Solve for x
    x = 18,211,835.83/6,307.74
  6. Step 6: Final answer
    x = 2,887.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.