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Finding the Fourth Proportional to 21,934.01, 32,903.94 and 7,699.10

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Solution

The fourth proportional to 21,934.01, 32,903.94 and 7,699.10 is: 11,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.01 : 32,903.94 = 7,699.10 : x
  2. Step 2: Convert to fraction form
    21,934.01/32,903.94 = 7,699.10/x
  3. Step 3: Cross multiply
    21,934.01x = 32,903.94 × 7,699.10
  4. Step 4: Simplify right side
    21,934.01x = 253,330,559.93
  5. Step 5: Solve for x
    x = 253,330,559.93/21,934.01
  6. Step 6: Final answer
    x = 11,549.67

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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.