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Finding the Fourth Proportional to 7,134.10, 9,848.49 and 4,748.04

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Solution

The fourth proportional to 7,134.10, 9,848.49 and 4,748.04 is: 6,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.10 : 9,848.49 = 4,748.04 : x
  2. Step 2: Convert to fraction form
    7,134.10/9,848.49 = 4,748.04/x
  3. Step 3: Cross multiply
    7,134.10x = 9,848.49 × 4,748.04
  4. Step 4: Simplify right side
    7,134.10x = 46,761,000.72
  5. Step 5: Solve for x
    x = 46,761,000.72/7,134.10
  6. Step 6: Final answer
    x = 6,554.58

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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.