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Finding the Fourth Proportional to 10,600, 14,628 and 6,184

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Solution

The fourth proportional to 10,600, 14,628 and 6,184 is: 8,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600 : 14,628 = 6,184 : x
  2. Step 2: Convert to fraction form
    10,600/14,628 = 6,184/x
  3. Step 3: Cross multiply
    10,600x = 14,628 × 6,184
  4. Step 4: Simplify right side
    10,600x = 90,459,552
  5. Step 5: Solve for x
    x = 90,459,552/10,600
  6. Step 6: Final answer
    x = 8,533.92

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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.