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Finding the Fourth Proportional to 21,707.60, 32,561.42 and 6,916.50

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Solution

The fourth proportional to 21,707.60, 32,561.42 and 6,916.50 is: 10,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.60 : 32,561.42 = 6,916.50 : x
  2. Step 2: Convert to fraction form
    21,707.60/32,561.42 = 6,916.50/x
  3. Step 3: Cross multiply
    21,707.60x = 32,561.42 × 6,916.50
  4. Step 4: Simplify right side
    21,707.60x = 225,211,026.85
  5. Step 5: Solve for x
    x = 225,211,026.85/21,707.60
  6. Step 6: Final answer
    x = 10,374.76

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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.