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Finding the Fourth Proportional to 12,946.84, 19,420.06 and 3,712.84

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Solution

The fourth proportional to 12,946.84, 19,420.06 and 3,712.84 is: 5,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.84 : 19,420.06 = 3,712.84 : x
  2. Step 2: Convert to fraction form
    12,946.84/19,420.06 = 3,712.84/x
  3. Step 3: Cross multiply
    12,946.84x = 19,420.06 × 3,712.84
  4. Step 4: Simplify right side
    12,946.84x = 72,103,575.57
  5. Step 5: Solve for x
    x = 72,103,575.57/12,946.84
  6. Step 6: Final answer
    x = 5,569.20

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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.