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Finding the Fourth Proportional to 7,646, 10,555.32 and 7,185.20

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Solution

The fourth proportional to 7,646, 10,555.32 and 7,185.20 is: 9,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646 : 10,555.32 = 7,185.20 : x
  2. Step 2: Convert to fraction form
    7,646/10,555.32 = 7,185.20/x
  3. Step 3: Cross multiply
    7,646x = 10,555.32 × 7,185.20
  4. Step 4: Simplify right side
    7,646x = 75,842,085.26
  5. Step 5: Solve for x
    x = 75,842,085.26/7,646
  6. Step 6: Final answer
    x = 9,919.18

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Double scale
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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.