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Finding the Fourth Proportional to 10,545, 14,552.34 and 6,825.48

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Solution

The fourth proportional to 10,545, 14,552.34 and 6,825.48 is: 9,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545 : 14,552.34 = 6,825.48 : x
  2. Step 2: Convert to fraction form
    10,545/14,552.34 = 6,825.48/x
  3. Step 3: Cross multiply
    10,545x = 14,552.34 × 6,825.48
  4. Step 4: Simplify right side
    10,545x = 99,326,705.62
  5. Step 5: Solve for x
    x = 99,326,705.62/10,545
  6. Step 6: Final answer
    x = 9,419.32

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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.