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Finding the Fourth Proportional to 9,859.74, 13,606.35 and 5,383.50

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Solution

The fourth proportional to 9,859.74, 13,606.35 and 5,383.50 is: 7,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.74 : 13,606.35 = 5,383.50 : x
  2. Step 2: Convert to fraction form
    9,859.74/13,606.35 = 5,383.50/x
  3. Step 3: Cross multiply
    9,859.74x = 13,606.35 × 5,383.50
  4. Step 4: Simplify right side
    9,859.74x = 73,249,785.23
  5. Step 5: Solve for x
    x = 73,249,785.23/9,859.74
  6. Step 6: Final answer
    x = 7,429.18

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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.