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Finding the Fourth Proportional to 10,506.87, 14,506.22 and 6,533.39

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Solution

The fourth proportional to 10,506.87, 14,506.22 and 6,533.39 is: 9,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.87 : 14,506.22 = 6,533.39 : x
  2. Step 2: Convert to fraction form
    10,506.87/14,506.22 = 6,533.39/x
  3. Step 3: Cross multiply
    10,506.87x = 14,506.22 × 6,533.39
  4. Step 4: Simplify right side
    10,506.87x = 94,774,845.28
  5. Step 5: Solve for x
    x = 94,774,845.28/10,506.87
  6. Step 6: Final answer
    x = 9,020.27

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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.