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Finding the Fourth Proportional to 9,793.68, 14,675.40 and 5,837.10

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Solution

The fourth proportional to 9,793.68, 14,675.40 and 5,837.10 is: 8,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.68 : 14,675.40 = 5,837.10 : x
  2. Step 2: Convert to fraction form
    9,793.68/14,675.40 = 5,837.10/x
  3. Step 3: Cross multiply
    9,793.68x = 14,675.40 × 5,837.10
  4. Step 4: Simplify right side
    9,793.68x = 85,661,777.34
  5. Step 5: Solve for x
    x = 85,661,777.34/9,793.68
  6. Step 6: Final answer
    x = 8,746.64

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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.