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Finding the Fourth Proportional to 10,059.50, 15,106.29 and 6,555.50

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Solution

The fourth proportional to 10,059.50, 15,106.29 and 6,555.50 is: 9,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.50 : 15,106.29 = 6,555.50 : x
  2. Step 2: Convert to fraction form
    10,059.50/15,106.29 = 6,555.50/x
  3. Step 3: Cross multiply
    10,059.50x = 15,106.29 × 6,555.50
  4. Step 4: Simplify right side
    10,059.50x = 99,029,284.10
  5. Step 5: Solve for x
    x = 99,029,284.10/10,059.50
  6. Step 6: Final answer
    x = 9,844.35

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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.