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Finding the Fourth Proportional to 7,090.29, 9,784.80 and 3,903.93

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Solution

The fourth proportional to 7,090.29, 9,784.80 and 3,903.93 is: 5,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.29 : 9,784.80 = 3,903.93 : x
  2. Step 2: Convert to fraction form
    7,090.29/9,784.80 = 3,903.93/x
  3. Step 3: Cross multiply
    7,090.29x = 9,784.80 × 3,903.93
  4. Step 4: Simplify right side
    7,090.29x = 38,199,174.26
  5. Step 5: Solve for x
    x = 38,199,174.26/7,090.29
  6. Step 6: Final answer
    x = 5,387.53

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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.