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Finding the Fourth Proportional to 10,484, 15,706.18 and 6,196.93

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Solution

The fourth proportional to 10,484, 15,706.18 and 6,196.93 is: 9,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484 : 15,706.18 = 6,196.93 : x
  2. Step 2: Convert to fraction form
    10,484/15,706.18 = 6,196.93/x
  3. Step 3: Cross multiply
    10,484x = 15,706.18 × 6,196.93
  4. Step 4: Simplify right side
    10,484x = 97,330,098.03
  5. Step 5: Solve for x
    x = 97,330,098.03/10,484
  6. Step 6: Final answer
    x = 9,283.68

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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.