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Finding the Fourth Proportional to 10,283.70, 14,196.44 and 6,508.70

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Solution

The fourth proportional to 10,283.70, 14,196.44 and 6,508.70 is: 8,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.70 : 14,196.44 = 6,508.70 : x
  2. Step 2: Convert to fraction form
    10,283.70/14,196.44 = 6,508.70/x
  3. Step 3: Cross multiply
    10,283.70x = 14,196.44 × 6,508.70
  4. Step 4: Simplify right side
    10,283.70x = 92,400,298.05
  5. Step 5: Solve for x
    x = 92,400,298.05/10,283.70
  6. Step 6: Final answer
    x = 8,985.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.