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Finding the Fourth Proportional to 6,470.61, 9,705.98 and 3,547.32

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Solution

The fourth proportional to 6,470.61, 9,705.98 and 3,547.32 is: 5,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.61 : 9,705.98 = 3,547.32 : x
  2. Step 2: Convert to fraction form
    6,470.61/9,705.98 = 3,547.32/x
  3. Step 3: Cross multiply
    6,470.61x = 9,705.98 × 3,547.32
  4. Step 4: Simplify right side
    6,470.61x = 34,430,216.97
  5. Step 5: Solve for x
    x = 34,430,216.97/6,470.61
  6. Step 6: Final answer
    x = 5,321.02

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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.