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Finding the Fourth Proportional to 9,757.65, 13,465.54 and 5,281.40

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Solution

The fourth proportional to 9,757.65, 13,465.54 and 5,281.40 is: 7,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.65 : 13,465.54 = 5,281.40 : x
  2. Step 2: Convert to fraction form
    9,757.65/13,465.54 = 5,281.40/x
  3. Step 3: Cross multiply
    9,757.65x = 13,465.54 × 5,281.40
  4. Step 4: Simplify right side
    9,757.65x = 71,116,902.96
  5. Step 5: Solve for x
    x = 71,116,902.96/9,757.65
  6. Step 6: Final answer
    x = 7,288.32

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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.