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Finding the Fourth Proportional to 4,447, 6,670.59 and 1,369

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Solution

The fourth proportional to 4,447, 6,670.59 and 1,369 is: 2,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447 : 6,670.59 = 1,369 : x
  2. Step 2: Convert to fraction form
    4,447/6,670.59 = 1,369/x
  3. Step 3: Cross multiply
    4,447x = 6,670.59 × 1,369
  4. Step 4: Simplify right side
    4,447x = 9,132,037.71
  5. Step 5: Solve for x
    x = 9,132,037.71/4,447
  6. Step 6: Final answer
    x = 2,053.53

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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.