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Finding the Fourth Proportional to 10,804.04, 14,896.13 and 9,014.12

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Solution

The fourth proportional to 10,804.04, 14,896.13 and 9,014.12 is: 12,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.04 : 14,896.13 = 9,014.12 : x
  2. Step 2: Convert to fraction form
    10,804.04/14,896.13 = 9,014.12/x
  3. Step 3: Cross multiply
    10,804.04x = 14,896.13 × 9,014.12
  4. Step 4: Simplify right side
    10,804.04x = 134,275,503.36
  5. Step 5: Solve for x
    x = 134,275,503.36/10,804.04
  6. Step 6: Final answer
    x = 12,428.27

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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.