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Finding the Fourth Proportional to 6,871.36, 9,484.72 and 4,887.68

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Solution

The fourth proportional to 6,871.36, 9,484.72 and 4,887.68 is: 6,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.36 : 9,484.72 = 4,887.68 : x
  2. Step 2: Convert to fraction form
    6,871.36/9,484.72 = 4,887.68/x
  3. Step 3: Cross multiply
    6,871.36x = 9,484.72 × 4,887.68
  4. Step 4: Simplify right side
    6,871.36x = 46,358,276.25
  5. Step 5: Solve for x
    x = 46,358,276.25/6,871.36
  6. Step 6: Final answer
    x = 6,746.59

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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.