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Finding the Fourth Proportional to 10,852.92, 14,977.08 and 6,661.17

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Solution

The fourth proportional to 10,852.92, 14,977.08 and 6,661.17 is: 9,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.92 : 14,977.08 = 6,661.17 : x
  2. Step 2: Convert to fraction form
    10,852.92/14,977.08 = 6,661.17/x
  3. Step 3: Cross multiply
    10,852.92x = 14,977.08 × 6,661.17
  4. Step 4: Simplify right side
    10,852.92x = 99,764,875.98
  5. Step 5: Solve for x
    x = 99,764,875.98/10,852.92
  6. Step 6: Final answer
    x = 9,192.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.