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Finding the Fourth Proportional to 14,574.84, 21,866.93 and 5,208.50

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Solution

The fourth proportional to 14,574.84, 21,866.93 and 5,208.50 is: 7,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.84 : 21,866.93 = 5,208.50 : x
  2. Step 2: Convert to fraction form
    14,574.84/21,866.93 = 5,208.50/x
  3. Step 3: Cross multiply
    14,574.84x = 21,866.93 × 5,208.50
  4. Step 4: Simplify right side
    14,574.84x = 113,893,953.06
  5. Step 5: Solve for x
    x = 113,893,953.06/14,574.84
  6. Step 6: Final answer
    x = 7,814.42

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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.