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Finding the Fourth Proportional to 19,829.64, 29,726.82 and 7,526.28

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Solution

The fourth proportional to 19,829.64, 29,726.82 and 7,526.28 is: 11,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.64 : 29,726.82 = 7,526.28 : x
  2. Step 2: Convert to fraction form
    19,829.64/29,726.82 = 7,526.28/x
  3. Step 3: Cross multiply
    19,829.64x = 29,726.82 × 7,526.28
  4. Step 4: Simplify right side
    19,829.64x = 223,732,370.83
  5. Step 5: Solve for x
    x = 223,732,370.83/19,829.64
  6. Step 6: Final answer
    x = 11,282.72

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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.