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Finding the Fourth Proportional to 15,752.99, 21,738.62 and 9,038.51

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Solution

The fourth proportional to 15,752.99, 21,738.62 and 9,038.51 is: 12,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.99 : 21,738.62 = 9,038.51 : x
  2. Step 2: Convert to fraction form
    15,752.99/21,738.62 = 9,038.51/x
  3. Step 3: Cross multiply
    15,752.99x = 21,738.62 × 9,038.51
  4. Step 4: Simplify right side
    15,752.99x = 196,484,743.41
  5. Step 5: Solve for x
    x = 196,484,743.41/15,752.99
  6. Step 6: Final answer
    x = 12,472.85

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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.