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Finding the Fourth Proportional to 9,928.16, 13,697.44 and 7,095.84

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Solution

The fourth proportional to 9,928.16, 13,697.44 and 7,095.84 is: 9,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.16 : 13,697.44 = 7,095.84 : x
  2. Step 2: Convert to fraction form
    9,928.16/13,697.44 = 7,095.84/x
  3. Step 3: Cross multiply
    9,928.16x = 13,697.44 × 7,095.84
  4. Step 4: Simplify right side
    9,928.16x = 97,194,842.65
  5. Step 5: Solve for x
    x = 97,194,842.65/9,928.16
  6. Step 6: Final answer
    x = 9,789.81

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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.