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Finding the Fourth Proportional to 9,509.93, 13,124.94 and 5,878.22

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Solution

The fourth proportional to 9,509.93, 13,124.94 and 5,878.22 is: 8,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.93 : 13,124.94 = 5,878.22 : x
  2. Step 2: Convert to fraction form
    9,509.93/13,124.94 = 5,878.22/x
  3. Step 3: Cross multiply
    9,509.93x = 13,124.94 × 5,878.22
  4. Step 4: Simplify right side
    9,509.93x = 77,151,284.81
  5. Step 5: Solve for x
    x = 77,151,284.81/9,509.93
  6. Step 6: Final answer
    x = 8,112.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.