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Finding the Fourth Proportional to 5,583.58, 7,697.64 and 5,411.05

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Solution

The fourth proportional to 5,583.58, 7,697.64 and 5,411.05 is: 7,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.58 : 7,697.64 = 5,411.05 : x
  2. Step 2: Convert to fraction form
    5,583.58/7,697.64 = 5,411.05/x
  3. Step 3: Cross multiply
    5,583.58x = 7,697.64 × 5,411.05
  4. Step 4: Simplify right side
    5,583.58x = 41,652,314.92
  5. Step 5: Solve for x
    x = 41,652,314.92/5,583.58
  6. Step 6: Final answer
    x = 7,459.79

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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.