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Finding the Fourth Proportional to 10,225.06, 15,357.03 and 6,356.50

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Solution

The fourth proportional to 10,225.06, 15,357.03 and 6,356.50 is: 9,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.06 : 15,357.03 = 6,356.50 : x
  2. Step 2: Convert to fraction form
    10,225.06/15,357.03 = 6,356.50/x
  3. Step 3: Cross multiply
    10,225.06x = 15,357.03 × 6,356.50
  4. Step 4: Simplify right side
    10,225.06x = 97,616,961.20
  5. Step 5: Solve for x
    x = 97,616,961.20/10,225.06
  6. Step 6: Final answer
    x = 9,546.84

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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.