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Finding the Fourth Proportional to 35,612.64, 53,422 and 9,317.34

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Solution

The fourth proportional to 35,612.64, 53,422 and 9,317.34 is: 13,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612.64 : 53,422 = 9,317.34 : x
  2. Step 2: Convert to fraction form
    35,612.64/53,422 = 9,317.34/x
  3. Step 3: Cross multiply
    35,612.64x = 53,422 × 9,317.34
  4. Step 4: Simplify right side
    35,612.64x = 497,750,937.48
  5. Step 5: Solve for x
    x = 497,750,937.48/35,612.64
  6. Step 6: Final answer
    x = 13,976.81

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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.