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Finding the Fourth Proportional to 7,235.60, 10,853.40 and 3,538.40

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Solution

The fourth proportional to 7,235.60, 10,853.40 and 3,538.40 is: 5,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.60 : 10,853.40 = 3,538.40 : x
  2. Step 2: Convert to fraction form
    7,235.60/10,853.40 = 3,538.40/x
  3. Step 3: Cross multiply
    7,235.60x = 10,853.40 × 3,538.40
  4. Step 4: Simplify right side
    7,235.60x = 38,403,670.56
  5. Step 5: Solve for x
    x = 38,403,670.56/7,235.60
  6. Step 6: Final answer
    x = 5,307.60

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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.