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Finding the Fourth Proportional to 7,207, 10,810.86 and 6,828.28

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Solution

The fourth proportional to 7,207, 10,810.86 and 6,828.28 is: 10,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207 : 10,810.86 = 6,828.28 : x
  2. Step 2: Convert to fraction form
    7,207/10,810.86 = 6,828.28/x
  3. Step 3: Cross multiply
    7,207x = 10,810.86 × 6,828.28
  4. Step 4: Simplify right side
    7,207x = 73,819,579.12
  5. Step 5: Solve for x
    x = 73,819,579.12/7,207
  6. Step 6: Final answer
    x = 10,242.76

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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.