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Finding the Fourth Proportional to 9,665.60, 14,473.78 and 6,368.68

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Solution

The fourth proportional to 9,665.60, 14,473.78 and 6,368.68 is: 9,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.60 : 14,473.78 = 6,368.68 : x
  2. Step 2: Convert to fraction form
    9,665.60/14,473.78 = 6,368.68/x
  3. Step 3: Cross multiply
    9,665.60x = 14,473.78 × 6,368.68
  4. Step 4: Simplify right side
    9,665.60x = 92,178,873.21
  5. Step 5: Solve for x
    x = 92,178,873.21/9,665.60
  6. Step 6: Final answer
    x = 9,536.80

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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.