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Finding the Fourth Proportional to 7,677, 10,594.38 and 4,886.28

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Solution

The fourth proportional to 7,677, 10,594.38 and 4,886.28 is: 6,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 10,594.38 = 4,886.28 : x
  2. Step 2: Convert to fraction form
    7,677/10,594.38 = 4,886.28/x
  3. Step 3: Cross multiply
    7,677x = 10,594.38 × 4,886.28
  4. Step 4: Simplify right side
    7,677x = 51,767,107.11
  5. Step 5: Solve for x
    x = 51,767,107.11/7,677
  6. Step 6: Final answer
    x = 6,743.14

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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.