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Finding the Fourth Proportional to 10,793.68, 14,893.02 and 6,316.57

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Solution

The fourth proportional to 10,793.68, 14,893.02 and 6,316.57 is: 8,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.68 : 14,893.02 = 6,316.57 : x
  2. Step 2: Convert to fraction form
    10,793.68/14,893.02 = 6,316.57/x
  3. Step 3: Cross multiply
    10,793.68x = 14,893.02 × 6,316.57
  4. Step 4: Simplify right side
    10,793.68x = 94,072,803.34
  5. Step 5: Solve for x
    x = 94,072,803.34/10,793.68
  6. Step 6: Final answer
    x = 8,715.54

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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.