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Finding the Fourth Proportional to 14,768.61, 20,384.00 and 9,390.01

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Solution

The fourth proportional to 14,768.61, 20,384.00 and 9,390.01 is: 12,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.61 : 20,384.00 = 9,390.01 : x
  2. Step 2: Convert to fraction form
    14,768.61/20,384.00 = 9,390.01/x
  3. Step 3: Cross multiply
    14,768.61x = 20,384.00 × 9,390.01
  4. Step 4: Simplify right side
    14,768.61x = 191,405,814.97
  5. Step 5: Solve for x
    x = 191,405,814.97/14,768.61
  6. Step 6: Final answer
    x = 12,960.32

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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.