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Finding the Fourth Proportional to 10,598.61, 15,811.35 and 9,741.36

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Solution

The fourth proportional to 10,598.61, 15,811.35 and 9,741.36 is: 14,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.61 : 15,811.35 = 9,741.36 : x
  2. Step 2: Convert to fraction form
    10,598.61/15,811.35 = 9,741.36/x
  3. Step 3: Cross multiply
    10,598.61x = 15,811.35 × 9,741.36
  4. Step 4: Simplify right side
    10,598.61x = 154,024,052.44
  5. Step 5: Solve for x
    x = 154,024,052.44/10,598.61
  6. Step 6: Final answer
    x = 14,532.48

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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.