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Finding the Fourth Proportional to 9,595.20, 14,392.80 and 3,023.40

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Solution

The fourth proportional to 9,595.20, 14,392.80 and 3,023.40 is: 4,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.20 : 14,392.80 = 3,023.40 : x
  2. Step 2: Convert to fraction form
    9,595.20/14,392.80 = 3,023.40/x
  3. Step 3: Cross multiply
    9,595.20x = 14,392.80 × 3,023.40
  4. Step 4: Simplify right side
    9,595.20x = 43,515,191.52
  5. Step 5: Solve for x
    x = 43,515,191.52/9,595.20
  6. Step 6: Final answer
    x = 4,535.10

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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.