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Finding the Fourth Proportional to 8,048.30, 12,068.40 and 4,762.40

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Solution

The fourth proportional to 8,048.30, 12,068.40 and 4,762.40 is: 7,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.30 : 12,068.40 = 4,762.40 : x
  2. Step 2: Convert to fraction form
    8,048.30/12,068.40 = 4,762.40/x
  3. Step 3: Cross multiply
    8,048.30x = 12,068.40 × 4,762.40
  4. Step 4: Simplify right side
    8,048.30x = 57,474,548.16
  5. Step 5: Solve for x
    x = 57,474,548.16/8,048.30
  6. Step 6: Final answer
    x = 7,141.20

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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.