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Finding the Fourth Proportional to 6,875.71, 9,485.90 and 4,043.23

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Solution

The fourth proportional to 6,875.71, 9,485.90 and 4,043.23 is: 5,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.71 : 9,485.90 = 4,043.23 : x
  2. Step 2: Convert to fraction form
    6,875.71/9,485.90 = 4,043.23/x
  3. Step 3: Cross multiply
    6,875.71x = 9,485.90 × 4,043.23
  4. Step 4: Simplify right side
    6,875.71x = 38,353,628.03
  5. Step 5: Solve for x
    x = 38,353,628.03/6,875.71
  6. Step 6: Final answer
    x = 5,578.14

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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.