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Finding the Fourth Proportional to 6,570.40, 9,892.63 and 5,795.23

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Solution

The fourth proportional to 6,570.40, 9,892.63 and 5,795.23 is: 8,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.40 : 9,892.63 = 5,795.23 : x
  2. Step 2: Convert to fraction form
    6,570.40/9,892.63 = 5,795.23/x
  3. Step 3: Cross multiply
    6,570.40x = 9,892.63 × 5,795.23
  4. Step 4: Simplify right side
    6,570.40x = 57,330,066.15
  5. Step 5: Solve for x
    x = 57,330,066.15/6,570.40
  6. Step 6: Final answer
    x = 8,725.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.