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Finding the Fourth Proportional to 10,506.81, 15,765.23 and 6,557.00

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Solution

The fourth proportional to 10,506.81, 15,765.23 and 6,557.00 is: 9,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.81 : 15,765.23 = 6,557.00 : x
  2. Step 2: Convert to fraction form
    10,506.81/15,765.23 = 6,557.00/x
  3. Step 3: Cross multiply
    10,506.81x = 15,765.23 × 6,557.00
  4. Step 4: Simplify right side
    10,506.81x = 103,372,501.50
  5. Step 5: Solve for x
    x = 103,372,501.50/10,506.81
  6. Step 6: Final answer
    x = 9,838.62

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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.