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Finding the Fourth Proportional to 4,809.59, 7,214.96 and 4,547.15

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Solution

The fourth proportional to 4,809.59, 7,214.96 and 4,547.15 is: 6,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.59 : 7,214.96 = 4,547.15 : x
  2. Step 2: Convert to fraction form
    4,809.59/7,214.96 = 4,547.15/x
  3. Step 3: Cross multiply
    4,809.59x = 7,214.96 × 4,547.15
  4. Step 4: Simplify right side
    4,809.59x = 32,807,505.36
  5. Step 5: Solve for x
    x = 32,807,505.36/4,809.59
  6. Step 6: Final answer
    x = 6,821.27

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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.