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Finding the Fourth Proportional to 9,835, 13,572.42 and 5,643.64

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Solution

The fourth proportional to 9,835, 13,572.42 and 5,643.64 is: 7,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835 : 13,572.42 = 5,643.64 : x
  2. Step 2: Convert to fraction form
    9,835/13,572.42 = 5,643.64/x
  3. Step 3: Cross multiply
    9,835x = 13,572.42 × 5,643.64
  4. Step 4: Simplify right side
    9,835x = 76,597,852.41
  5. Step 5: Solve for x
    x = 76,597,852.41/9,835
  6. Step 6: Final answer
    x = 7,788.29

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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.