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Finding the Fourth Proportional to 10,563.36, 15,868.08 and 6,462.24

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Solution

The fourth proportional to 10,563.36, 15,868.08 and 6,462.24 is: 9,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.36 : 15,868.08 = 6,462.24 : x
  2. Step 2: Convert to fraction form
    10,563.36/15,868.08 = 6,462.24/x
  3. Step 3: Cross multiply
    10,563.36x = 15,868.08 × 6,462.24
  4. Step 4: Simplify right side
    10,563.36x = 102,543,341.30
  5. Step 5: Solve for x
    x = 102,543,341.30/10,563.36
  6. Step 6: Final answer
    x = 9,707.45

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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.