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Finding the Fourth Proportional to 14,454.42, 21,646.98 and 7,415.91

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Solution

The fourth proportional to 14,454.42, 21,646.98 and 7,415.91 is: 11,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.42 : 21,646.98 = 7,415.91 : x
  2. Step 2: Convert to fraction form
    14,454.42/21,646.98 = 7,415.91/x
  3. Step 3: Cross multiply
    14,454.42x = 21,646.98 × 7,415.91
  4. Step 4: Simplify right side
    14,454.42x = 160,532,055.45
  5. Step 5: Solve for x
    x = 160,532,055.45/14,454.42
  6. Step 6: Final answer
    x = 11,106.09

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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.