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Finding the Fourth Proportional to 9,210.75, 12,710.84 and 5,019

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Solution

The fourth proportional to 9,210.75, 12,710.84 and 5,019 is: 6,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.75 : 12,710.84 = 5,019 : x
  2. Step 2: Convert to fraction form
    9,210.75/12,710.84 = 5,019/x
  3. Step 3: Cross multiply
    9,210.75x = 12,710.84 × 5,019
  4. Step 4: Simplify right side
    9,210.75x = 63,795,680.87
  5. Step 5: Solve for x
    x = 63,795,680.87/9,210.75
  6. Step 6: Final answer
    x = 6,926.22

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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.