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Finding the Fourth Proportional to 7,646.23, 11,471.42 and 6,914.26

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Solution

The fourth proportional to 7,646.23, 11,471.42 and 6,914.26 is: 10,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.23 : 11,471.42 = 6,914.26 : x
  2. Step 2: Convert to fraction form
    7,646.23/11,471.42 = 6,914.26/x
  3. Step 3: Cross multiply
    7,646.23x = 11,471.42 × 6,914.26
  4. Step 4: Simplify right side
    7,646.23x = 79,316,412.07
  5. Step 5: Solve for x
    x = 79,316,412.07/7,646.23
  6. Step 6: Final answer
    x = 10,373.27

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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.