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Finding the Fourth Proportional to 10,946.04, 15,102 and 6,229.38

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Solution

The fourth proportional to 10,946.04, 15,102 and 6,229.38 is: 8,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.04 : 15,102 = 6,229.38 : x
  2. Step 2: Convert to fraction form
    10,946.04/15,102 = 6,229.38/x
  3. Step 3: Cross multiply
    10,946.04x = 15,102 × 6,229.38
  4. Step 4: Simplify right side
    10,946.04x = 94,076,096.76
  5. Step 5: Solve for x
    x = 94,076,096.76/10,946.04
  6. Step 6: Final answer
    x = 8,594.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.