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Finding the Fourth Proportional to 7,047.65, 10,570.93 and 1,853.39

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Solution

The fourth proportional to 7,047.65, 10,570.93 and 1,853.39 is: 2,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.65 : 10,570.93 = 1,853.39 : x
  2. Step 2: Convert to fraction form
    7,047.65/10,570.93 = 1,853.39/x
  3. Step 3: Cross multiply
    7,047.65x = 10,570.93 × 1,853.39
  4. Step 4: Simplify right side
    7,047.65x = 19,592,055.95
  5. Step 5: Solve for x
    x = 19,592,055.95/7,047.65
  6. Step 6: Final answer
    x = 2,779.94

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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.