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Finding the Fourth Proportional to 13,038.95, 17,993.72 and 7,070.60

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Solution

The fourth proportional to 13,038.95, 17,993.72 and 7,070.60 is: 9,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.95 : 17,993.72 = 7,070.60 : x
  2. Step 2: Convert to fraction form
    13,038.95/17,993.72 = 7,070.60/x
  3. Step 3: Cross multiply
    13,038.95x = 17,993.72 × 7,070.60
  4. Step 4: Simplify right side
    13,038.95x = 127,226,361.28
  5. Step 5: Solve for x
    x = 127,226,361.28/13,038.95
  6. Step 6: Final answer
    x = 9,757.41

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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.