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Finding the Fourth Proportional to 6,666.20, 9,984.16 and 4,700.63

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Solution

The fourth proportional to 6,666.20, 9,984.16 and 4,700.63 is: 7,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.20 : 9,984.16 = 4,700.63 : x
  2. Step 2: Convert to fraction form
    6,666.20/9,984.16 = 4,700.63/x
  3. Step 3: Cross multiply
    6,666.20x = 9,984.16 × 4,700.63
  4. Step 4: Simplify right side
    6,666.20x = 46,931,872.86
  5. Step 5: Solve for x
    x = 46,931,872.86/6,666.20
  6. Step 6: Final answer
    x = 7,040.28

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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.