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Finding the Fourth Proportional to 9,967.86, 13,764.53 and 7,445.67

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Solution

The fourth proportional to 9,967.86, 13,764.53 and 7,445.67 is: 10,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.86 : 13,764.53 = 7,445.67 : x
  2. Step 2: Convert to fraction form
    9,967.86/13,764.53 = 7,445.67/x
  3. Step 3: Cross multiply
    9,967.86x = 13,764.53 × 7,445.67
  4. Step 4: Simplify right side
    9,967.86x = 102,486,192.51
  5. Step 5: Solve for x
    x = 102,486,192.51/9,967.86
  6. Step 6: Final answer
    x = 10,281.66

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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.