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Finding the Fourth Proportional to 7,026.91, 9,697.34 and 3,840.50

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Solution

The fourth proportional to 7,026.91, 9,697.34 and 3,840.50 is: 5,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.91 : 9,697.34 = 3,840.50 : x
  2. Step 2: Convert to fraction form
    7,026.91/9,697.34 = 3,840.50/x
  3. Step 3: Cross multiply
    7,026.91x = 9,697.34 × 3,840.50
  4. Step 4: Simplify right side
    7,026.91x = 37,242,668.11
  5. Step 5: Solve for x
    x = 37,242,668.11/7,026.91
  6. Step 6: Final answer
    x = 5,300.01

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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.