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Finding the Fourth Proportional to 10,493.34, 15,741.02 and 4,646.76

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Solution

The fourth proportional to 10,493.34, 15,741.02 and 4,646.76 is: 6,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.34 : 15,741.02 = 4,646.76 : x
  2. Step 2: Convert to fraction form
    10,493.34/15,741.02 = 4,646.76/x
  3. Step 3: Cross multiply
    10,493.34x = 15,741.02 × 4,646.76
  4. Step 4: Simplify right side
    10,493.34x = 73,144,742.10
  5. Step 5: Solve for x
    x = 73,144,742.10/10,493.34
  6. Step 6: Final answer
    x = 6,970.59

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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.