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Finding the Fourth Proportional to 9,686.59, 14,506.81 and 6,727.99

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Solution

The fourth proportional to 9,686.59, 14,506.81 and 6,727.99 is: 10,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.59 : 14,506.81 = 6,727.99 : x
  2. Step 2: Convert to fraction form
    9,686.59/14,506.81 = 6,727.99/x
  3. Step 3: Cross multiply
    9,686.59x = 14,506.81 × 6,727.99
  4. Step 4: Simplify right side
    9,686.59x = 97,601,672.61
  5. Step 5: Solve for x
    x = 97,601,672.61/9,686.59
  6. Step 6: Final answer
    x = 10,075.96

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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.