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Finding the Fourth Proportional to 9,776.64, 14,643.72 and 6,016.96

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Solution

The fourth proportional to 9,776.64, 14,643.72 and 6,016.96 is: 9,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.64 : 14,643.72 = 6,016.96 : x
  2. Step 2: Convert to fraction form
    9,776.64/14,643.72 = 6,016.96/x
  3. Step 3: Cross multiply
    9,776.64x = 14,643.72 × 6,016.96
  4. Step 4: Simplify right side
    9,776.64x = 88,110,677.49
  5. Step 5: Solve for x
    x = 88,110,677.49/9,776.64
  6. Step 6: Final answer
    x = 9,012.37

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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.