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Finding the Fourth Proportional to 35,465.40, 53,199.02 and 9,170.06

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Solution

The fourth proportional to 35,465.40, 53,199.02 and 9,170.06 is: 13,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465.40 : 53,199.02 = 9,170.06 : x
  2. Step 2: Convert to fraction form
    35,465.40/53,199.02 = 9,170.06/x
  3. Step 3: Cross multiply
    35,465.40x = 53,199.02 × 9,170.06
  4. Step 4: Simplify right side
    35,465.40x = 487,838,361.26
  5. Step 5: Solve for x
    x = 487,838,361.26/35,465.40
  6. Step 6: Final answer
    x = 13,755.33

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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.