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Finding the Fourth Proportional to 35,934.84, 53,902.26 and 9,642.24

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Solution

The fourth proportional to 35,934.84, 53,902.26 and 9,642.24 is: 14,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,934.84 : 53,902.26 = 9,642.24 : x
  2. Step 2: Convert to fraction form
    35,934.84/53,902.26 = 9,642.24/x
  3. Step 3: Cross multiply
    35,934.84x = 53,902.26 × 9,642.24
  4. Step 4: Simplify right side
    35,934.84x = 519,738,527.46
  5. Step 5: Solve for x
    x = 519,738,527.46/35,934.84
  6. Step 6: Final answer
    x = 14,463.36

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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.