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Finding the Fourth Proportional to 7,163.51, 9,893.14 and 4,931.15

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Solution

The fourth proportional to 7,163.51, 9,893.14 and 4,931.15 is: 6,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.51 : 9,893.14 = 4,931.15 : x
  2. Step 2: Convert to fraction form
    7,163.51/9,893.14 = 4,931.15/x
  3. Step 3: Cross multiply
    7,163.51x = 9,893.14 × 4,931.15
  4. Step 4: Simplify right side
    7,163.51x = 48,784,495.52
  5. Step 5: Solve for x
    x = 48,784,495.52/7,163.51
  6. Step 6: Final answer
    x = 6,810.14

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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.