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Finding the Fourth Proportional to 6,969.16, 9,613.38 and 4,485.16

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Solution

The fourth proportional to 6,969.16, 9,613.38 and 4,485.16 is: 6,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.16 : 9,613.38 = 4,485.16 : x
  2. Step 2: Convert to fraction form
    6,969.16/9,613.38 = 4,485.16/x
  3. Step 3: Cross multiply
    6,969.16x = 9,613.38 × 4,485.16
  4. Step 4: Simplify right side
    6,969.16x = 43,117,547.44
  5. Step 5: Solve for x
    x = 43,117,547.44/6,969.16
  6. Step 6: Final answer
    x = 6,186.91

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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.