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Finding the Fourth Proportional to 9,656.99, 14,487.74 and 2,993.14

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Solution

The fourth proportional to 9,656.99, 14,487.74 and 2,993.14 is: 4,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.99 : 14,487.74 = 2,993.14 : x
  2. Step 2: Convert to fraction form
    9,656.99/14,487.74 = 2,993.14/x
  3. Step 3: Cross multiply
    9,656.99x = 14,487.74 × 2,993.14
  4. Step 4: Simplify right side
    9,656.99x = 43,363,771.19
  5. Step 5: Solve for x
    x = 43,363,771.19/9,656.99
  6. Step 6: Final answer
    x = 4,490.40

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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.