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Finding the Fourth Proportional to 10,046, 15,069 and 4,574

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Solution

The fourth proportional to 10,046, 15,069 and 4,574 is: 6,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046 : 15,069 = 4,574 : x
  2. Step 2: Convert to fraction form
    10,046/15,069 = 4,574/x
  3. Step 3: Cross multiply
    10,046x = 15,069 × 4,574
  4. Step 4: Simplify right side
    10,046x = 68,925,606
  5. Step 5: Solve for x
    x = 68,925,606/10,046
  6. Step 6: Final answer
    x = 6,861

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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.