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Finding the Fourth Proportional to 6,809.60, 9,514 and 6,809.60

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Solution

The fourth proportional to 6,809.60, 9,514 and 6,809.60 is: 9,514

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.60 : 9,514 = 6,809.60 : x
  2. Step 2: Convert to fraction form
    6,809.60/9,514 = 6,809.60/x
  3. Step 3: Cross multiply
    6,809.60x = 9,514 × 6,809.60
  4. Step 4: Simplify right side
    6,809.60x = 64,786,534.40
  5. Step 5: Solve for x
    x = 64,786,534.40/6,809.60
  6. Step 6: Final answer
    x = 9,514

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.