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Finding the Fourth Proportional to 9,699.40, 14,532.90 and 9,116.20

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Solution

The fourth proportional to 9,699.40, 14,532.90 and 9,116.20 is: 13,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.40 : 14,532.90 = 9,116.20 : x
  2. Step 2: Convert to fraction form
    9,699.40/14,532.90 = 9,116.20/x
  3. Step 3: Cross multiply
    9,699.40x = 14,532.90 × 9,116.20
  4. Step 4: Simplify right side
    9,699.40x = 132,484,822.98
  5. Step 5: Solve for x
    x = 132,484,822.98/9,699.40
  6. Step 6: Final answer
    x = 13,659.07

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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.