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Finding the Fourth Proportional to 6,492.28, 9,738.48 and 1,875.28

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Solution

The fourth proportional to 6,492.28, 9,738.48 and 1,875.28 is: 2,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.28 : 9,738.48 = 1,875.28 : x
  2. Step 2: Convert to fraction form
    6,492.28/9,738.48 = 1,875.28/x
  3. Step 3: Cross multiply
    6,492.28x = 9,738.48 × 1,875.28
  4. Step 4: Simplify right side
    6,492.28x = 18,262,376.77
  5. Step 5: Solve for x
    x = 18,262,376.77/6,492.28
  6. Step 6: Final answer
    x = 2,812.94

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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.