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Finding the Fourth Proportional to 10,363.50, 14,291.64 and 6,968.16

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Solution

The fourth proportional to 10,363.50, 14,291.64 and 6,968.16 is: 9,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.50 : 14,291.64 = 6,968.16 : x
  2. Step 2: Convert to fraction form
    10,363.50/14,291.64 = 6,968.16/x
  3. Step 3: Cross multiply
    10,363.50x = 14,291.64 × 6,968.16
  4. Step 4: Simplify right side
    10,363.50x = 99,586,434.18
  5. Step 5: Solve for x
    x = 99,586,434.18/10,363.50
  6. Step 6: Final answer
    x = 9,609.34

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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.