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Finding the Fourth Proportional to 7,090.43, 9,782.97 and 4,733.01

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Solution

The fourth proportional to 7,090.43, 9,782.97 and 4,733.01 is: 6,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.43 : 9,782.97 = 4,733.01 : x
  2. Step 2: Convert to fraction form
    7,090.43/9,782.97 = 4,733.01/x
  3. Step 3: Cross multiply
    7,090.43x = 9,782.97 × 4,733.01
  4. Step 4: Simplify right side
    7,090.43x = 46,302,894.84
  5. Step 5: Solve for x
    x = 46,302,894.84/7,090.43
  6. Step 6: Final answer
    x = 6,530.34

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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.