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Finding the Fourth Proportional to 7,848.04, 11,752.62 and 5,374.30

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Solution

The fourth proportional to 7,848.04, 11,752.62 and 5,374.30 is: 8,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.04 : 11,752.62 = 5,374.30 : x
  2. Step 2: Convert to fraction form
    7,848.04/11,752.62 = 5,374.30/x
  3. Step 3: Cross multiply
    7,848.04x = 11,752.62 × 5,374.30
  4. Step 4: Simplify right side
    7,848.04x = 63,162,105.67
  5. Step 5: Solve for x
    x = 63,162,105.67/7,848.04
  6. Step 6: Final answer
    x = 8,048.14

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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.