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Finding the Fourth Proportional to 6,859.68, 9,465.84 and 3,875.52

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Solution

The fourth proportional to 6,859.68, 9,465.84 and 3,875.52 is: 5,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.68 : 9,465.84 = 3,875.52 : x
  2. Step 2: Convert to fraction form
    6,859.68/9,465.84 = 3,875.52/x
  3. Step 3: Cross multiply
    6,859.68x = 9,465.84 × 3,875.52
  4. Step 4: Simplify right side
    6,859.68x = 36,685,052.24
  5. Step 5: Solve for x
    x = 36,685,052.24/6,859.68
  6. Step 6: Final answer
    x = 5,347.92

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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.