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Finding the Fourth Proportional to 14,000.14, 19,320.16 and 7,712.52

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Solution

The fourth proportional to 14,000.14, 19,320.16 and 7,712.52 is: 10,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.14 : 19,320.16 = 7,712.52 : x
  2. Step 2: Convert to fraction form
    14,000.14/19,320.16 = 7,712.52/x
  3. Step 3: Cross multiply
    14,000.14x = 19,320.16 × 7,712.52
  4. Step 4: Simplify right side
    14,000.14x = 149,007,120.40
  5. Step 5: Solve for x
    x = 149,007,120.40/14,000.14
  6. Step 6: Final answer
    x = 10,643.26

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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.