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Finding the Fourth Proportional to 10,699.64, 14,772.18 and 9,563.20

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Solution

The fourth proportional to 10,699.64, 14,772.18 and 9,563.20 is: 13,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.64 : 14,772.18 = 9,563.20 : x
  2. Step 2: Convert to fraction form
    10,699.64/14,772.18 = 9,563.20/x
  3. Step 3: Cross multiply
    10,699.64x = 14,772.18 × 9,563.20
  4. Step 4: Simplify right side
    10,699.64x = 141,269,311.78
  5. Step 5: Solve for x
    x = 141,269,311.78/10,699.64
  6. Step 6: Final answer
    x = 13,203.18

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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.