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Finding the Fourth Proportional to 10,573.58, 15,837.53 and 9,952.50

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Solution

The fourth proportional to 10,573.58, 15,837.53 and 9,952.50 is: 14,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.58 : 15,837.53 = 9,952.50 : x
  2. Step 2: Convert to fraction form
    10,573.58/15,837.53 = 9,952.50/x
  3. Step 3: Cross multiply
    10,573.58x = 15,837.53 × 9,952.50
  4. Step 4: Simplify right side
    10,573.58x = 157,623,017.33
  5. Step 5: Solve for x
    x = 157,623,017.33/10,573.58
  6. Step 6: Final answer
    x = 14,907.26

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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.