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Finding the Fourth Proportional to 9,673.92, 14,511.93 and 4,127.85

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Solution

The fourth proportional to 9,673.92, 14,511.93 and 4,127.85 is: 6,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.92 : 14,511.93 = 4,127.85 : x
  2. Step 2: Convert to fraction form
    9,673.92/14,511.93 = 4,127.85/x
  3. Step 3: Cross multiply
    9,673.92x = 14,511.93 × 4,127.85
  4. Step 4: Simplify right side
    9,673.92x = 59,903,070.25
  5. Step 5: Solve for x
    x = 59,903,070.25/9,673.92
  6. Step 6: Final answer
    x = 6,192.22

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1.5x scale

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.