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Finding the Fourth Proportional to 12,683.58, 19,027 and 4,894.62

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Solution

The fourth proportional to 12,683.58, 19,027 and 4,894.62 is: 7,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.58 : 19,027 = 4,894.62 : x
  2. Step 2: Convert to fraction form
    12,683.58/19,027 = 4,894.62/x
  3. Step 3: Cross multiply
    12,683.58x = 19,027 × 4,894.62
  4. Step 4: Simplify right side
    12,683.58x = 93,129,934.74
  5. Step 5: Solve for x
    x = 93,129,934.74/12,683.58
  6. Step 6: Final answer
    x = 7,342.56

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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.