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Finding the Fourth Proportional to 6,307.76, 9,458.64 and 1,924.04

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Solution

The fourth proportional to 6,307.76, 9,458.64 and 1,924.04 is: 2,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.76 : 9,458.64 = 1,924.04 : x
  2. Step 2: Convert to fraction form
    6,307.76/9,458.64 = 1,924.04/x
  3. Step 3: Cross multiply
    6,307.76x = 9,458.64 × 1,924.04
  4. Step 4: Simplify right side
    6,307.76x = 18,198,801.71
  5. Step 5: Solve for x
    x = 18,198,801.71/6,307.76
  6. Step 6: Final answer
    x = 2,885.14

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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.