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Finding the Fourth Proportional to 10,762.08, 16,146 and 6,148.32

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Solution

The fourth proportional to 10,762.08, 16,146 and 6,148.32 is: 9,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.08 : 16,146 = 6,148.32 : x
  2. Step 2: Convert to fraction form
    10,762.08/16,146 = 6,148.32/x
  3. Step 3: Cross multiply
    10,762.08x = 16,146 × 6,148.32
  4. Step 4: Simplify right side
    10,762.08x = 99,270,774.72
  5. Step 5: Solve for x
    x = 99,270,774.72/10,762.08
  6. Step 6: Final answer
    x = 9,224.13

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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.