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Finding the Fourth Proportional to 6,444.08, 9,646.66 and 5,828.08

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Solution

The fourth proportional to 6,444.08, 9,646.66 and 5,828.08 is: 8,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.08 : 9,646.66 = 5,828.08 : x
  2. Step 2: Convert to fraction form
    6,444.08/9,646.66 = 5,828.08/x
  3. Step 3: Cross multiply
    6,444.08x = 9,646.66 × 5,828.08
  4. Step 4: Simplify right side
    6,444.08x = 56,221,506.21
  5. Step 5: Solve for x
    x = 56,221,506.21/6,444.08
  6. Step 6: Final answer
    x = 8,724.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.