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Finding the Fourth Proportional to 8,281.04, 11,428.86 and 4,744.25

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Solution

The fourth proportional to 8,281.04, 11,428.86 and 4,744.25 is: 6,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.04 : 11,428.86 = 4,744.25 : x
  2. Step 2: Convert to fraction form
    8,281.04/11,428.86 = 4,744.25/x
  3. Step 3: Cross multiply
    8,281.04x = 11,428.86 × 4,744.25
  4. Step 4: Simplify right side
    8,281.04x = 54,221,436.85
  5. Step 5: Solve for x
    x = 54,221,436.85/8,281.04
  6. Step 6: Final answer
    x = 6,547.66

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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.