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Finding the Fourth Proportional to 6,969.32, 10,492.02 and 6,356.96

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Solution

The fourth proportional to 6,969.32, 10,492.02 and 6,356.96 is: 9,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.32 : 10,492.02 = 6,356.96 : x
  2. Step 2: Convert to fraction form
    6,969.32/10,492.02 = 6,356.96/x
  3. Step 3: Cross multiply
    6,969.32x = 10,492.02 × 6,356.96
  4. Step 4: Simplify right side
    6,969.32x = 66,697,351.46
  5. Step 5: Solve for x
    x = 66,697,351.46/6,969.32
  6. Step 6: Final answer
    x = 9,570.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.