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Finding the Fourth Proportional to 10,524.84, 15,798.63 and 9,362.28

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Solution

The fourth proportional to 10,524.84, 15,798.63 and 9,362.28 is: 14,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.84 : 15,798.63 = 9,362.28 : x
  2. Step 2: Convert to fraction form
    10,524.84/15,798.63 = 9,362.28/x
  3. Step 3: Cross multiply
    10,524.84x = 15,798.63 × 9,362.28
  4. Step 4: Simplify right side
    10,524.84x = 147,911,197.68
  5. Step 5: Solve for x
    x = 147,911,197.68/10,524.84
  6. Step 6: Final answer
    x = 14,053.53

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1.5x scale

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.