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Finding the Fourth Proportional to 9,859.12, 14,765.16 and 5,465.68

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Solution

The fourth proportional to 9,859.12, 14,765.16 and 5,465.68 is: 8,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.12 : 14,765.16 = 5,465.68 : x
  2. Step 2: Convert to fraction form
    9,859.12/14,765.16 = 5,465.68/x
  3. Step 3: Cross multiply
    9,859.12x = 14,765.16 × 5,465.68
  4. Step 4: Simplify right side
    9,859.12x = 80,701,639.71
  5. Step 5: Solve for x
    x = 80,701,639.71/9,859.12
  6. Step 6: Final answer
    x = 8,185.48

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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.