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Finding the Fourth Proportional to 4,630.61, 6,946.53 and 1,509.52

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Solution

The fourth proportional to 4,630.61, 6,946.53 and 1,509.52 is: 2,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.61 : 6,946.53 = 1,509.52 : x
  2. Step 2: Convert to fraction form
    4,630.61/6,946.53 = 1,509.52/x
  3. Step 3: Cross multiply
    4,630.61x = 6,946.53 × 1,509.52
  4. Step 4: Simplify right side
    4,630.61x = 10,485,935.78
  5. Step 5: Solve for x
    x = 10,485,935.78/4,630.61
  6. Step 6: Final answer
    x = 2,264.48

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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.