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Finding the Fourth Proportional to 14,023, 19,351.78 and 7,735.32

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Solution

The fourth proportional to 14,023, 19,351.78 and 7,735.32 is: 10,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023 : 19,351.78 = 7,735.32 : x
  2. Step 2: Convert to fraction form
    14,023/19,351.78 = 7,735.32/x
  3. Step 3: Cross multiply
    14,023x = 19,351.78 × 7,735.32
  4. Step 4: Simplify right side
    14,023x = 149,692,210.87
  5. Step 5: Solve for x
    x = 149,692,210.87/14,023
  6. Step 6: Final answer
    x = 10,674.76

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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.