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Finding the Fourth Proportional to 7,065.50, 10,598.26 and 1,871.40

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Solution

The fourth proportional to 7,065.50, 10,598.26 and 1,871.40 is: 2,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.50 : 10,598.26 = 1,871.40 : x
  2. Step 2: Convert to fraction form
    7,065.50/10,598.26 = 1,871.40/x
  3. Step 3: Cross multiply
    7,065.50x = 10,598.26 × 1,871.40
  4. Step 4: Simplify right side
    7,065.50x = 19,833,583.76
  5. Step 5: Solve for x
    x = 19,833,583.76/7,065.50
  6. Step 6: Final answer
    x = 2,807.10

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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.