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Finding the Fourth Proportional to 7,206.16, 10,860.88 and 6,804.24

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Solution

The fourth proportional to 7,206.16, 10,860.88 and 6,804.24 is: 10,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.16 : 10,860.88 = 6,804.24 : x
  2. Step 2: Convert to fraction form
    7,206.16/10,860.88 = 6,804.24/x
  3. Step 3: Cross multiply
    7,206.16x = 10,860.88 × 6,804.24
  4. Step 4: Simplify right side
    7,206.16x = 73,900,034.13
  5. Step 5: Solve for x
    x = 73,900,034.13/7,206.16
  6. Step 6: Final answer
    x = 10,255.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.