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Finding the Fourth Proportional to 7,707.93, 10,627.02 and 6,290.16

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Solution

The fourth proportional to 7,707.93, 10,627.02 and 6,290.16 is: 8,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.93 : 10,627.02 = 6,290.16 : x
  2. Step 2: Convert to fraction form
    7,707.93/10,627.02 = 6,290.16/x
  3. Step 3: Cross multiply
    7,707.93x = 10,627.02 × 6,290.16
  4. Step 4: Simplify right side
    7,707.93x = 66,845,656.12
  5. Step 5: Solve for x
    x = 66,845,656.12/7,707.93
  6. Step 6: Final answer
    x = 8,672.32

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Half scale
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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.