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Finding the Fourth Proportional to 13,802.58, 19,046.94 and 7,515

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Solution

The fourth proportional to 13,802.58, 19,046.94 and 7,515 is: 10,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.58 : 19,046.94 = 7,515 : x
  2. Step 2: Convert to fraction form
    13,802.58/19,046.94 = 7,515/x
  3. Step 3: Cross multiply
    13,802.58x = 19,046.94 × 7,515
  4. Step 4: Simplify right side
    13,802.58x = 143,137,754.10
  5. Step 5: Solve for x
    x = 143,137,754.10/13,802.58
  6. Step 6: Final answer
    x = 10,370.36

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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.