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Finding the Fourth Proportional to 14,333, 19,779.68 and 8,045.51

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Solution

The fourth proportional to 14,333, 19,779.68 and 8,045.51 is: 11,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333 : 19,779.68 = 8,045.51 : x
  2. Step 2: Convert to fraction form
    14,333/19,779.68 = 8,045.51/x
  3. Step 3: Cross multiply
    14,333x = 19,779.68 × 8,045.51
  4. Step 4: Simplify right side
    14,333x = 159,137,613.24
  5. Step 5: Solve for x
    x = 159,137,613.24/14,333
  6. Step 6: Final answer
    x = 11,102.88

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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.