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Finding the Fourth Proportional to 9,626.64, 14,419.72 and 6,114.88

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Solution

The fourth proportional to 9,626.64, 14,419.72 and 6,114.88 is: 9,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.64 : 14,419.72 = 6,114.88 : x
  2. Step 2: Convert to fraction form
    9,626.64/14,419.72 = 6,114.88/x
  3. Step 3: Cross multiply
    9,626.64x = 14,419.72 × 6,114.88
  4. Step 4: Simplify right side
    9,626.64x = 88,174,857.43
  5. Step 5: Solve for x
    x = 88,174,857.43/9,626.64
  6. Step 6: Final answer
    x = 9,159.46

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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.