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Finding the Fourth Proportional to 9,769.14, 14,628.87 and 7,125.84

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Solution

The fourth proportional to 9,769.14, 14,628.87 and 7,125.84 is: 10,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.14 : 14,628.87 = 7,125.84 : x
  2. Step 2: Convert to fraction form
    9,769.14/14,628.87 = 7,125.84/x
  3. Step 3: Cross multiply
    9,769.14x = 14,628.87 × 7,125.84
  4. Step 4: Simplify right side
    9,769.14x = 104,242,987.00
  5. Step 5: Solve for x
    x = 104,242,987.00/9,769.14
  6. Step 6: Final answer
    x = 10,670.64

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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.