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Finding the Fourth Proportional to 7,770.16, 10,726.88 and 6,041.62

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Solution

The fourth proportional to 7,770.16, 10,726.88 and 6,041.62 is: 8,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.16 : 10,726.88 = 6,041.62 : x
  2. Step 2: Convert to fraction form
    7,770.16/10,726.88 = 6,041.62/x
  3. Step 3: Cross multiply
    7,770.16x = 10,726.88 × 6,041.62
  4. Step 4: Simplify right side
    7,770.16x = 64,807,715.95
  5. Step 5: Solve for x
    x = 64,807,715.95/7,770.16
  6. Step 6: Final answer
    x = 8,340.59

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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.