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Finding the Fourth Proportional to 35,784.96, 53,677.44 and 9,491.76

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Solution

The fourth proportional to 35,784.96, 53,677.44 and 9,491.76 is: 14,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.96 : 53,677.44 = 9,491.76 : x
  2. Step 2: Convert to fraction form
    35,784.96/53,677.44 = 9,491.76/x
  3. Step 3: Cross multiply
    35,784.96x = 53,677.44 × 9,491.76
  4. Step 4: Simplify right side
    35,784.96x = 509,493,377.89
  5. Step 5: Solve for x
    x = 509,493,377.89/35,784.96
  6. Step 6: Final answer
    x = 14,237.64

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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.