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Finding the Fourth Proportional to 10,953.70, 16,442.70 and 6,023.50

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Solution

The fourth proportional to 10,953.70, 16,442.70 and 6,023.50 is: 9,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.70 : 16,442.70 = 6,023.50 : x
  2. Step 2: Convert to fraction form
    10,953.70/16,442.70 = 6,023.50/x
  3. Step 3: Cross multiply
    10,953.70x = 16,442.70 × 6,023.50
  4. Step 4: Simplify right side
    10,953.70x = 99,042,603.45
  5. Step 5: Solve for x
    x = 99,042,603.45/10,953.70
  6. Step 6: Final answer
    x = 9,041.93

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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.