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Finding the Fourth Proportional to 4,630.84, 6,946.97 and 1,510.12

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Solution

The fourth proportional to 4,630.84, 6,946.97 and 1,510.12 is: 2,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.84 : 6,946.97 = 1,510.12 : x
  2. Step 2: Convert to fraction form
    4,630.84/6,946.97 = 1,510.12/x
  3. Step 3: Cross multiply
    4,630.84x = 6,946.97 × 1,510.12
  4. Step 4: Simplify right side
    4,630.84x = 10,490,752.67
  5. Step 5: Solve for x
    x = 10,490,752.67/4,630.84
  6. Step 6: Final answer
    x = 2,265.41

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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.