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Finding the Fourth Proportional to 19,575, 27,013.69 and 10,622.58

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Solution

The fourth proportional to 19,575, 27,013.69 and 10,622.58 is: 14,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575 : 27,013.69 = 10,622.58 : x
  2. Step 2: Convert to fraction form
    19,575/27,013.69 = 10,622.58/x
  3. Step 3: Cross multiply
    19,575x = 27,013.69 × 10,622.58
  4. Step 4: Simplify right side
    19,575x = 286,955,083.12
  5. Step 5: Solve for x
    x = 286,955,083.12/19,575
  6. Step 6: Final answer
    x = 14,659.26

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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.