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Finding the Fourth Proportional to 7,047.16, 10,571.36 and 1,853

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Solution

The fourth proportional to 7,047.16, 10,571.36 and 1,853 is: 2,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.16 : 10,571.36 = 1,853 : x
  2. Step 2: Convert to fraction form
    7,047.16/10,571.36 = 1,853/x
  3. Step 3: Cross multiply
    7,047.16x = 10,571.36 × 1,853
  4. Step 4: Simplify right side
    7,047.16x = 19,588,730.08
  5. Step 5: Solve for x
    x = 19,588,730.08/7,047.16
  6. Step 6: Final answer
    x = 2,779.66

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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.