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Finding the Fourth Proportional to 9,854.16, 14,723.52 and 9,509.64

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Solution

The fourth proportional to 9,854.16, 14,723.52 and 9,509.64 is: 14,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.16 : 14,723.52 = 9,509.64 : x
  2. Step 2: Convert to fraction form
    9,854.16/14,723.52 = 9,509.64/x
  3. Step 3: Cross multiply
    9,854.16x = 14,723.52 × 9,509.64
  4. Step 4: Simplify right side
    9,854.16x = 140,015,374.73
  5. Step 5: Solve for x
    x = 140,015,374.73/9,854.16
  6. Step 6: Final answer
    x = 14,208.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.