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Finding the Fourth Proportional to 6,886.71, 9,503.96 and 4,235.00

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Solution

The fourth proportional to 6,886.71, 9,503.96 and 4,235.00 is: 5,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.71 : 9,503.96 = 4,235.00 : x
  2. Step 2: Convert to fraction form
    6,886.71/9,503.96 = 4,235.00/x
  3. Step 3: Cross multiply
    6,886.71x = 9,503.96 × 4,235.00
  4. Step 4: Simplify right side
    6,886.71x = 40,249,201.91
  5. Step 5: Solve for x
    x = 40,249,201.91/6,886.71
  6. Step 6: Final answer
    x = 5,844.47

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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.