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Finding the Fourth Proportional to 10,499, 15,750.93 and 3,573.50

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Solution

The fourth proportional to 10,499, 15,750.93 and 3,573.50 is: 5,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499 : 15,750.93 = 3,573.50 : x
  2. Step 2: Convert to fraction form
    10,499/15,750.93 = 3,573.50/x
  3. Step 3: Cross multiply
    10,499x = 15,750.93 × 3,573.50
  4. Step 4: Simplify right side
    10,499x = 56,285,948.36
  5. Step 5: Solve for x
    x = 56,285,948.36/10,499
  6. Step 6: Final answer
    x = 5,361.08

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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.