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Finding the Fourth Proportional to 4,398.16, 6,069 and 2,509.60

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Solution

The fourth proportional to 4,398.16, 6,069 and 2,509.60 is: 3,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.16 : 6,069 = 2,509.60 : x
  2. Step 2: Convert to fraction form
    4,398.16/6,069 = 2,509.60/x
  3. Step 3: Cross multiply
    4,398.16x = 6,069 × 2,509.60
  4. Step 4: Simplify right side
    4,398.16x = 15,230,762.40
  5. Step 5: Solve for x
    x = 15,230,762.40/4,398.16
  6. Step 6: Final answer
    x = 3,462.99

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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.