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Finding the Fourth Proportional to 19,653, 29,484.36 and 6,506.70

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Solution

The fourth proportional to 19,653, 29,484.36 and 6,506.70 is: 9,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653 : 29,484.36 = 6,506.70 : x
  2. Step 2: Convert to fraction form
    19,653/29,484.36 = 6,506.70/x
  3. Step 3: Cross multiply
    19,653x = 29,484.36 × 6,506.70
  4. Step 4: Simplify right side
    19,653x = 191,845,885.21
  5. Step 5: Solve for x
    x = 191,845,885.21/19,653
  6. Step 6: Final answer
    x = 9,761.66

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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.