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Finding the Fourth Proportional to 6,875.92, 9,489.24 and 4,188.16

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Solution

The fourth proportional to 6,875.92, 9,489.24 and 4,188.16 is: 5,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.92 : 9,489.24 = 4,188.16 : x
  2. Step 2: Convert to fraction form
    6,875.92/9,489.24 = 4,188.16/x
  3. Step 3: Cross multiply
    6,875.92x = 9,489.24 × 4,188.16
  4. Step 4: Simplify right side
    6,875.92x = 39,742,455.40
  5. Step 5: Solve for x
    x = 39,742,455.40/6,875.92
  6. Step 6: Final answer
    x = 5,779.95

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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.