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Finding the Fourth Proportional to 15,953.52, 22,011.84 and 9,664.68

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Solution

The fourth proportional to 15,953.52, 22,011.84 and 9,664.68 is: 13,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.52 : 22,011.84 = 9,664.68 : x
  2. Step 2: Convert to fraction form
    15,953.52/22,011.84 = 9,664.68/x
  3. Step 3: Cross multiply
    15,953.52x = 22,011.84 × 9,664.68
  4. Step 4: Simplify right side
    15,953.52x = 212,737,389.81
  5. Step 5: Solve for x
    x = 212,737,389.81/15,953.52
  6. Step 6: Final answer
    x = 13,334.82

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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.