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Finding the Fourth Proportional to 9,941.32, 14,898 and 7,852.12

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Solution

The fourth proportional to 9,941.32, 14,898 and 7,852.12 is: 11,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.32 : 14,898 = 7,852.12 : x
  2. Step 2: Convert to fraction form
    9,941.32/14,898 = 7,852.12/x
  3. Step 3: Cross multiply
    9,941.32x = 14,898 × 7,852.12
  4. Step 4: Simplify right side
    9,941.32x = 116,980,883.76
  5. Step 5: Solve for x
    x = 116,980,883.76/9,941.32
  6. Step 6: Final answer
    x = 11,767.14

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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.