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Finding the Fourth Proportional to 4,630.83, 6,946.16 and 1,858.13

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Solution

The fourth proportional to 4,630.83, 6,946.16 and 1,858.13 is: 2,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.83 : 6,946.16 = 1,858.13 : x
  2. Step 2: Convert to fraction form
    4,630.83/6,946.16 = 1,858.13/x
  3. Step 3: Cross multiply
    4,630.83x = 6,946.16 × 1,858.13
  4. Step 4: Simplify right side
    4,630.83x = 12,906,829.81
  5. Step 5: Solve for x
    x = 12,906,829.81/4,630.83
  6. Step 6: Final answer
    x = 2,787.15

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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.