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Finding the Fourth Proportional to 35,437.84, 53,156.04 and 9,142.36

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Solution

The fourth proportional to 35,437.84, 53,156.04 and 9,142.36 is: 13,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,437.84 : 53,156.04 = 9,142.36 : x
  2. Step 2: Convert to fraction form
    35,437.84/53,156.04 = 9,142.36/x
  3. Step 3: Cross multiply
    35,437.84x = 53,156.04 × 9,142.36
  4. Step 4: Simplify right side
    35,437.84x = 485,971,653.85
  5. Step 5: Solve for x
    x = 485,971,653.85/35,437.84
  6. Step 6: Final answer
    x = 13,713.35

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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.