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Finding the Fourth Proportional to 11,575, 15,973.80 and 7,096.18

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Solution

The fourth proportional to 11,575, 15,973.80 and 7,096.18 is: 9,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575 : 15,973.80 = 7,096.18 : x
  2. Step 2: Convert to fraction form
    11,575/15,973.80 = 7,096.18/x
  3. Step 3: Cross multiply
    11,575x = 15,973.80 × 7,096.18
  4. Step 4: Simplify right side
    11,575x = 113,352,960.08
  5. Step 5: Solve for x
    x = 113,352,960.08/11,575
  6. Step 6: Final answer
    x = 9,792.91

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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.