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Finding the Fourth Proportional to 10,473.36, 15,710.01 and 6,580.50

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Solution

The fourth proportional to 10,473.36, 15,710.01 and 6,580.50 is: 9,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.36 : 15,710.01 = 6,580.50 : x
  2. Step 2: Convert to fraction form
    10,473.36/15,710.01 = 6,580.50/x
  3. Step 3: Cross multiply
    10,473.36x = 15,710.01 × 6,580.50
  4. Step 4: Simplify right side
    10,473.36x = 103,379,720.81
  5. Step 5: Solve for x
    x = 103,379,720.81/10,473.36
  6. Step 6: Final answer
    x = 9,870.73

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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.