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Finding the Fourth Proportional to 4,630.91, 6,946.82 and 1,510.79

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Solution

The fourth proportional to 4,630.91, 6,946.82 and 1,510.79 is: 2,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.91 : 6,946.82 = 1,510.79 : x
  2. Step 2: Convert to fraction form
    4,630.91/6,946.82 = 1,510.79/x
  3. Step 3: Cross multiply
    4,630.91x = 6,946.82 × 1,510.79
  4. Step 4: Simplify right side
    4,630.91x = 10,495,186.19
  5. Step 5: Solve for x
    x = 10,495,186.19/4,630.91
  6. Step 6: Final answer
    x = 2,266.33

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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.