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Finding the Fourth Proportional to 10,745.58, 14,829.54 and 7,154.34

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Solution

The fourth proportional to 10,745.58, 14,829.54 and 7,154.34 is: 9,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.58 : 14,829.54 = 7,154.34 : x
  2. Step 2: Convert to fraction form
    10,745.58/14,829.54 = 7,154.34/x
  3. Step 3: Cross multiply
    10,745.58x = 14,829.54 × 7,154.34
  4. Step 4: Simplify right side
    10,745.58x = 106,095,571.20
  5. Step 5: Solve for x
    x = 106,095,571.20/10,745.58
  6. Step 6: Final answer
    x = 9,873.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.