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Finding the Fourth Proportional to 14,616.98, 21,925.74 and 4,756.22

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Solution

The fourth proportional to 14,616.98, 21,925.74 and 4,756.22 is: 7,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.98 : 21,925.74 = 4,756.22 : x
  2. Step 2: Convert to fraction form
    14,616.98/21,925.74 = 4,756.22/x
  3. Step 3: Cross multiply
    14,616.98x = 21,925.74 × 4,756.22
  4. Step 4: Simplify right side
    14,616.98x = 104,283,643.10
  5. Step 5: Solve for x
    x = 104,283,643.10/14,616.98
  6. Step 6: Final answer
    x = 7,134.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.