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Finding the Fourth Proportional to 7,752.65, 10,698.88 and 4,770.23

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Solution

The fourth proportional to 7,752.65, 10,698.88 and 4,770.23 is: 6,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.65 : 10,698.88 = 4,770.23 : x
  2. Step 2: Convert to fraction form
    7,752.65/10,698.88 = 4,770.23/x
  3. Step 3: Cross multiply
    7,752.65x = 10,698.88 × 4,770.23
  4. Step 4: Simplify right side
    7,752.65x = 51,036,101.99
  5. Step 5: Solve for x
    x = 51,036,101.99/7,752.65
  6. Step 6: Final answer
    x = 6,583.05

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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.