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Finding the Fourth Proportional to 10,007.10, 14,976.09 and 7,703.10

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Solution

The fourth proportional to 10,007.10, 14,976.09 and 7,703.10 is: 11,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.10 : 14,976.09 = 7,703.10 : x
  2. Step 2: Convert to fraction form
    10,007.10/14,976.09 = 7,703.10/x
  3. Step 3: Cross multiply
    10,007.10x = 14,976.09 × 7,703.10
  4. Step 4: Simplify right side
    10,007.10x = 115,362,318.88
  5. Step 5: Solve for x
    x = 115,362,318.88/10,007.10
  6. Step 6: Final answer
    x = 11,528.05

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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.