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Finding the Fourth Proportional to 9,893.40, 13,653.05 and 5,417.07

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Solution

The fourth proportional to 9,893.40, 13,653.05 and 5,417.07 is: 7,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.40 : 13,653.05 = 5,417.07 : x
  2. Step 2: Convert to fraction form
    9,893.40/13,653.05 = 5,417.07/x
  3. Step 3: Cross multiply
    9,893.40x = 13,653.05 × 5,417.07
  4. Step 4: Simplify right side
    9,893.40x = 73,959,527.56
  5. Step 5: Solve for x
    x = 73,959,527.56/9,893.40
  6. Step 6: Final answer
    x = 7,475.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.