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Finding the Fourth Proportional to 6,643.00, 9,886.07 and 6,421.53

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Solution

The fourth proportional to 6,643.00, 9,886.07 and 6,421.53 is: 9,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.00 : 9,886.07 = 6,421.53 : x
  2. Step 2: Convert to fraction form
    6,643.00/9,886.07 = 6,421.53/x
  3. Step 3: Cross multiply
    6,643.00x = 9,886.07 × 6,421.53
  4. Step 4: Simplify right side
    6,643.00x = 63,483,711.14
  5. Step 5: Solve for x
    x = 63,483,711.14/6,643.00
  6. Step 6: Final answer
    x = 9,556.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.