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Finding the Fourth Proportional to 4,307.66, 6,409.06 and 4,293.08

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Solution

The fourth proportional to 4,307.66, 6,409.06 and 4,293.08 is: 6,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.66 : 6,409.06 = 4,293.08 : x
  2. Step 2: Convert to fraction form
    4,307.66/6,409.06 = 4,293.08/x
  3. Step 3: Cross multiply
    4,307.66x = 6,409.06 × 4,293.08
  4. Step 4: Simplify right side
    4,307.66x = 27,514,624.61
  5. Step 5: Solve for x
    x = 27,514,624.61/4,307.66
  6. Step 6: Final answer
    x = 6,387.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.