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Finding the Fourth Proportional to 9,062.51, 13,578.71 and 6,416.93

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Solution

The fourth proportional to 9,062.51, 13,578.71 and 6,416.93 is: 9,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.51 : 13,578.71 = 6,416.93 : x
  2. Step 2: Convert to fraction form
    9,062.51/13,578.71 = 6,416.93/x
  3. Step 3: Cross multiply
    9,062.51x = 13,578.71 × 6,416.93
  4. Step 4: Simplify right side
    9,062.51x = 87,133,633.42
  5. Step 5: Solve for x
    x = 87,133,633.42/9,062.51
  6. Step 6: Final answer
    x = 9,614.74

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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.