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Finding the Fourth Proportional to 7,265.76, 10,898.64 and 2,071.50

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Solution

The fourth proportional to 7,265.76, 10,898.64 and 2,071.50 is: 3,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.76 : 10,898.64 = 2,071.50 : x
  2. Step 2: Convert to fraction form
    7,265.76/10,898.64 = 2,071.50/x
  3. Step 3: Cross multiply
    7,265.76x = 10,898.64 × 2,071.50
  4. Step 4: Simplify right side
    7,265.76x = 22,576,532.76
  5. Step 5: Solve for x
    x = 22,576,532.76/7,265.76
  6. Step 6: Final answer
    x = 3,107.25

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1.5x scale

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.