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Finding the Fourth Proportional to 13,258.70, 18,297 and 7,290.77

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Solution

The fourth proportional to 13,258.70, 18,297 and 7,290.77 is: 10,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.70 : 18,297 = 7,290.77 : x
  2. Step 2: Convert to fraction form
    13,258.70/18,297 = 7,290.77/x
  3. Step 3: Cross multiply
    13,258.70x = 18,297 × 7,290.77
  4. Step 4: Simplify right side
    13,258.70x = 133,399,127.21
  5. Step 5: Solve for x
    x = 133,399,127.21/13,258.70
  6. Step 6: Final answer
    x = 10,061.26

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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.