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Finding the Fourth Proportional to 9,774.66, 14,632.80 and 6,851.36

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Solution

The fourth proportional to 9,774.66, 14,632.80 and 6,851.36 is: 10,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.66 : 14,632.80 = 6,851.36 : x
  2. Step 2: Convert to fraction form
    9,774.66/14,632.80 = 6,851.36/x
  3. Step 3: Cross multiply
    9,774.66x = 14,632.80 × 6,851.36
  4. Step 4: Simplify right side
    9,774.66x = 100,254,580.61
  5. Step 5: Solve for x
    x = 100,254,580.61/9,774.66
  6. Step 6: Final answer
    x = 10,256.58

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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.