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Finding the Fourth Proportional to 10,524.87, 15,765.84 and 6,563.16

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Solution

The fourth proportional to 10,524.87, 15,765.84 and 6,563.16 is: 9,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.87 : 15,765.84 = 6,563.16 : x
  2. Step 2: Convert to fraction form
    10,524.87/15,765.84 = 6,563.16/x
  3. Step 3: Cross multiply
    10,524.87x = 15,765.84 × 6,563.16
  4. Step 4: Simplify right side
    10,524.87x = 103,473,730.45
  5. Step 5: Solve for x
    x = 103,473,730.45/10,524.87
  6. Step 6: Final answer
    x = 9,831.35

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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.