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Finding the Fourth Proportional to 7,066.85, 9,753.53 and 4,827.90

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Solution

The fourth proportional to 7,066.85, 9,753.53 and 4,827.90 is: 6,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.85 : 9,753.53 = 4,827.90 : x
  2. Step 2: Convert to fraction form
    7,066.85/9,753.53 = 4,827.90/x
  3. Step 3: Cross multiply
    7,066.85x = 9,753.53 × 4,827.90
  4. Step 4: Simplify right side
    7,066.85x = 47,089,043.35
  5. Step 5: Solve for x
    x = 47,089,043.35/7,066.85
  6. Step 6: Final answer
    x = 6,663.38

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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.