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Finding the Fourth Proportional to 7,714.70, 11,569.35 and 4,015.70

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Solution

The fourth proportional to 7,714.70, 11,569.35 and 4,015.70 is: 6,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.70 : 11,569.35 = 4,015.70 : x
  2. Step 2: Convert to fraction form
    7,714.70/11,569.35 = 4,015.70/x
  3. Step 3: Cross multiply
    7,714.70x = 11,569.35 × 4,015.70
  4. Step 4: Simplify right side
    7,714.70x = 46,459,038.80
  5. Step 5: Solve for x
    x = 46,459,038.80/7,714.70
  6. Step 6: Final answer
    x = 6,022.14

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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.