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Finding the Fourth Proportional to 9,554.94, 14,342.94 and 6,770.16

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Solution

The fourth proportional to 9,554.94, 14,342.94 and 6,770.16 is: 10,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.94 : 14,342.94 = 6,770.16 : x
  2. Step 2: Convert to fraction form
    9,554.94/14,342.94 = 6,770.16/x
  3. Step 3: Cross multiply
    9,554.94x = 14,342.94 × 6,770.16
  4. Step 4: Simplify right side
    9,554.94x = 97,103,998.67
  5. Step 5: Solve for x
    x = 97,103,998.67/9,554.94
  6. Step 6: Final answer
    x = 10,162.70

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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.