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Finding the Fourth Proportional to 9,854.73, 14,784.93 and 5,697.72

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Solution

The fourth proportional to 9,854.73, 14,784.93 and 5,697.72 is: 8,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.73 : 14,784.93 = 5,697.72 : x
  2. Step 2: Convert to fraction form
    9,854.73/14,784.93 = 5,697.72/x
  3. Step 3: Cross multiply
    9,854.73x = 14,784.93 × 5,697.72
  4. Step 4: Simplify right side
    9,854.73x = 84,240,391.36
  5. Step 5: Solve for x
    x = 84,240,391.36/9,854.73
  6. Step 6: Final answer
    x = 8,548.22

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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.