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Finding the Fourth Proportional to 9,874.34, 14,798.75 and 7,389.66

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Solution

The fourth proportional to 9,874.34, 14,798.75 and 7,389.66 is: 11,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.34 : 14,798.75 = 7,389.66 : x
  2. Step 2: Convert to fraction form
    9,874.34/14,798.75 = 7,389.66/x
  3. Step 3: Cross multiply
    9,874.34x = 14,798.75 × 7,389.66
  4. Step 4: Simplify right side
    9,874.34x = 109,357,693.98
  5. Step 5: Solve for x
    x = 109,357,693.98/9,874.34
  6. Step 6: Final answer
    x = 11,074.94

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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.