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Finding the Fourth Proportional to 9,728.04, 14,595.50 and 4,801.14

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Solution

The fourth proportional to 9,728.04, 14,595.50 and 4,801.14 is: 7,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.04 : 14,595.50 = 4,801.14 : x
  2. Step 2: Convert to fraction form
    9,728.04/14,595.50 = 4,801.14/x
  3. Step 3: Cross multiply
    9,728.04x = 14,595.50 × 4,801.14
  4. Step 4: Simplify right side
    9,728.04x = 70,074,996.05
  5. Step 5: Solve for x
    x = 70,074,996.05/9,728.04
  6. Step 6: Final answer
    x = 7,203.41

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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.