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Finding the Fourth Proportional to 10,695.96, 16,022.10 and 6,300.12

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Solution

The fourth proportional to 10,695.96, 16,022.10 and 6,300.12 is: 9,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.96 : 16,022.10 = 6,300.12 : x
  2. Step 2: Convert to fraction form
    10,695.96/16,022.10 = 6,300.12/x
  3. Step 3: Cross multiply
    10,695.96x = 16,022.10 × 6,300.12
  4. Step 4: Simplify right side
    10,695.96x = 100,941,152.65
  5. Step 5: Solve for x
    x = 100,941,152.65/10,695.96
  6. Step 6: Final answer
    x = 9,437.32

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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.