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Finding the Fourth Proportional to 9,665.09, 14,473.02 and 6,368.19

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Solution

The fourth proportional to 9,665.09, 14,473.02 and 6,368.19 is: 9,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.09 : 14,473.02 = 6,368.19 : x
  2. Step 2: Convert to fraction form
    9,665.09/14,473.02 = 6,368.19/x
  3. Step 3: Cross multiply
    9,665.09x = 14,473.02 × 6,368.19
  4. Step 4: Simplify right side
    9,665.09x = 92,166,941.23
  5. Step 5: Solve for x
    x = 92,166,941.23/9,665.09
  6. Step 6: Final answer
    x = 9,536.07

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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.