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Finding the Fourth Proportional to 14,060.24, 19,403 and 7,772.64

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Solution

The fourth proportional to 14,060.24, 19,403 and 7,772.64 is: 10,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,060.24 : 19,403 = 7,772.64 : x
  2. Step 2: Convert to fraction form
    14,060.24/19,403 = 7,772.64/x
  3. Step 3: Cross multiply
    14,060.24x = 19,403 × 7,772.64
  4. Step 4: Simplify right side
    14,060.24x = 150,812,533.92
  5. Step 5: Solve for x
    x = 150,812,533.92/14,060.24
  6. Step 6: Final answer
    x = 10,726.17

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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.