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Finding the Fourth Proportional to 14,102.16, 19,460.94 and 7,814.52

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Solution

The fourth proportional to 14,102.16, 19,460.94 and 7,814.52 is: 10,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.16 : 19,460.94 = 7,814.52 : x
  2. Step 2: Convert to fraction form
    14,102.16/19,460.94 = 7,814.52/x
  3. Step 3: Cross multiply
    14,102.16x = 19,460.94 × 7,814.52
  4. Step 4: Simplify right side
    14,102.16x = 152,077,904.85
  5. Step 5: Solve for x
    x = 152,077,904.85/14,102.16
  6. Step 6: Final answer
    x = 10,784.01

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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.