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Finding the Fourth Proportional to 35,746.86, 53,615.88 and 9,453.72

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Solution

The fourth proportional to 35,746.86, 53,615.88 and 9,453.72 is: 14,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746.86 : 53,615.88 = 9,453.72 : x
  2. Step 2: Convert to fraction form
    35,746.86/53,615.88 = 9,453.72/x
  3. Step 3: Cross multiply
    35,746.86x = 53,615.88 × 9,453.72
  4. Step 4: Simplify right side
    35,746.86x = 506,869,517.07
  5. Step 5: Solve for x
    x = 506,869,517.07/35,746.86
  6. Step 6: Final answer
    x = 14,179.41

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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.