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Finding the Fourth Proportional to 7,697.09, 10,620.64 and 4,552.13

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Solution

The fourth proportional to 7,697.09, 10,620.64 and 4,552.13 is: 6,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.09 : 10,620.64 = 4,552.13 : x
  2. Step 2: Convert to fraction form
    7,697.09/10,620.64 = 4,552.13/x
  3. Step 3: Cross multiply
    7,697.09x = 10,620.64 × 4,552.13
  4. Step 4: Simplify right side
    7,697.09x = 48,346,533.96
  5. Step 5: Solve for x
    x = 48,346,533.96/7,697.09
  6. Step 6: Final answer
    x = 6,281.14

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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.