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Finding the Fourth Proportional to 7,378.84, 10,182.80 and 4,066.84

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Solution

The fourth proportional to 7,378.84, 10,182.80 and 4,066.84 is: 5,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.84 : 10,182.80 = 4,066.84 : x
  2. Step 2: Convert to fraction form
    7,378.84/10,182.80 = 4,066.84/x
  3. Step 3: Cross multiply
    7,378.84x = 10,182.80 × 4,066.84
  4. Step 4: Simplify right side
    7,378.84x = 41,411,818.35
  5. Step 5: Solve for x
    x = 41,411,818.35/7,378.84
  6. Step 6: Final answer
    x = 5,612.24

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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.