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Finding the Fourth Proportional to 9,693.64, 13,376.90 and 5,714.68

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Solution

The fourth proportional to 9,693.64, 13,376.90 and 5,714.68 is: 7,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.64 : 13,376.90 = 5,714.68 : x
  2. Step 2: Convert to fraction form
    9,693.64/13,376.90 = 5,714.68/x
  3. Step 3: Cross multiply
    9,693.64x = 13,376.90 × 5,714.68
  4. Step 4: Simplify right side
    9,693.64x = 76,444,702.89
  5. Step 5: Solve for x
    x = 76,444,702.89/9,693.64
  6. Step 6: Final answer
    x = 7,886.07

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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.