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Finding the Fourth Proportional to 35,987.86, 53,975.67 and 9,686.74

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Solution

The fourth proportional to 35,987.86, 53,975.67 and 9,686.74 is: 14,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,987.86 : 53,975.67 = 9,686.74 : x
  2. Step 2: Convert to fraction form
    35,987.86/53,975.67 = 9,686.74/x
  3. Step 3: Cross multiply
    35,987.86x = 53,975.67 × 9,686.74
  4. Step 4: Simplify right side
    35,987.86x = 522,848,281.62
  5. Step 5: Solve for x
    x = 522,848,281.62/35,987.86
  6. Step 6: Final answer
    x = 14,528.46

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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.