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Finding the Fourth Proportional to 7,047.53, 10,570.46 and 1,853.81

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Solution

The fourth proportional to 7,047.53, 10,570.46 and 1,853.81 is: 2,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.53 : 10,570.46 = 1,853.81 : x
  2. Step 2: Convert to fraction form
    7,047.53/10,570.46 = 1,853.81/x
  3. Step 3: Cross multiply
    7,047.53x = 10,570.46 × 1,853.81
  4. Step 4: Simplify right side
    7,047.53x = 19,595,615.18
  5. Step 5: Solve for x
    x = 19,595,615.18/7,047.53
  6. Step 6: Final answer
    x = 2,780.49

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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.