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Finding the Fourth Proportional to 9,824, 14,741.76 and 4,352

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Solution

The fourth proportional to 9,824, 14,741.76 and 4,352 is: 6,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824 : 14,741.76 = 4,352 : x
  2. Step 2: Convert to fraction form
    9,824/14,741.76 = 4,352/x
  3. Step 3: Cross multiply
    9,824x = 14,741.76 × 4,352
  4. Step 4: Simplify right side
    9,824x = 64,156,139.52
  5. Step 5: Solve for x
    x = 64,156,139.52/9,824
  6. Step 6: Final answer
    x = 6,530.55

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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.