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Finding the Fourth Proportional to 6,972, 10,459.62 and 2,355

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Solution

The fourth proportional to 6,972, 10,459.62 and 2,355 is: 3,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 10,459.62 = 2,355 : x
  2. Step 2: Convert to fraction form
    6,972/10,459.62 = 2,355/x
  3. Step 3: Cross multiply
    6,972x = 10,459.62 × 2,355
  4. Step 4: Simplify right side
    6,972x = 24,632,405.10
  5. Step 5: Solve for x
    x = 24,632,405.10/6,972
  6. Step 6: Final answer
    x = 3,533.05

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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.