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Finding the Fourth Proportional to 9,852.60, 13,596.60 and 5,376.42

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Solution

The fourth proportional to 9,852.60, 13,596.60 and 5,376.42 is: 7,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.60 : 13,596.60 = 5,376.42 : x
  2. Step 2: Convert to fraction form
    9,852.60/13,596.60 = 5,376.42/x
  3. Step 3: Cross multiply
    9,852.60x = 13,596.60 × 5,376.42
  4. Step 4: Simplify right side
    9,852.60x = 73,101,032.17
  5. Step 5: Solve for x
    x = 73,101,032.17/9,852.60
  6. Step 6: Final answer
    x = 7,419.47

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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.