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Finding the Fourth Proportional to 10,678.42, 14,727.99 and 7,094.98

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Solution

The fourth proportional to 10,678.42, 14,727.99 and 7,094.98 is: 9,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.42 : 14,727.99 = 7,094.98 : x
  2. Step 2: Convert to fraction form
    10,678.42/14,727.99 = 7,094.98/x
  3. Step 3: Cross multiply
    10,678.42x = 14,727.99 × 7,094.98
  4. Step 4: Simplify right side
    10,678.42x = 104,494,794.49
  5. Step 5: Solve for x
    x = 104,494,794.49/10,678.42
  6. Step 6: Final answer
    x = 9,785.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.