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Finding the Fourth Proportional to 7,206.56, 10,829.28 and 6,303.68

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Solution

The fourth proportional to 7,206.56, 10,829.28 and 6,303.68 is: 9,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.56 : 10,829.28 = 6,303.68 : x
  2. Step 2: Convert to fraction form
    7,206.56/10,829.28 = 6,303.68/x
  3. Step 3: Cross multiply
    7,206.56x = 10,829.28 × 6,303.68
  4. Step 4: Simplify right side
    7,206.56x = 68,264,315.75
  5. Step 5: Solve for x
    x = 68,264,315.75/7,206.56
  6. Step 6: Final answer
    x = 9,472.52

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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.