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Finding the Fourth Proportional to 14,102.10, 19,460.86 and 7,814.48

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Solution

The fourth proportional to 14,102.10, 19,460.86 and 7,814.48 is: 10,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.10 : 19,460.86 = 7,814.48 : x
  2. Step 2: Convert to fraction form
    14,102.10/19,460.86 = 7,814.48/x
  3. Step 3: Cross multiply
    14,102.10x = 19,460.86 × 7,814.48
  4. Step 4: Simplify right side
    14,102.10x = 152,076,384.41
  5. Step 5: Solve for x
    x = 152,076,384.41/14,102.10
  6. Step 6: Final answer
    x = 10,783.95

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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.