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Finding the Fourth Proportional to 10,365.89, 15,548.75 and 2,970.35

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Solution

The fourth proportional to 10,365.89, 15,548.75 and 2,970.35 is: 4,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.89 : 15,548.75 = 2,970.35 : x
  2. Step 2: Convert to fraction form
    10,365.89/15,548.75 = 2,970.35/x
  3. Step 3: Cross multiply
    10,365.89x = 15,548.75 × 2,970.35
  4. Step 4: Simplify right side
    10,365.89x = 46,185,229.56
  5. Step 5: Solve for x
    x = 46,185,229.56/10,365.89
  6. Step 6: Final answer
    x = 4,455.50

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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.