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Finding the Fourth Proportional to 7,809.40, 11,725.08 and 4,526.16

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Solution

The fourth proportional to 7,809.40, 11,725.08 and 4,526.16 is: 6,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.40 : 11,725.08 = 4,526.16 : x
  2. Step 2: Convert to fraction form
    7,809.40/11,725.08 = 4,526.16/x
  3. Step 3: Cross multiply
    7,809.40x = 11,725.08 × 4,526.16
  4. Step 4: Simplify right side
    7,809.40x = 53,069,588.09
  5. Step 5: Solve for x
    x = 53,069,588.09/7,809.40
  6. Step 6: Final answer
    x = 6,795.61

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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.