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Finding the Fourth Proportional to 7,720.63, 10,662.03 and 6,595.00

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Solution

The fourth proportional to 7,720.63, 10,662.03 and 6,595.00 is: 9,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.63 : 10,662.03 = 6,595.00 : x
  2. Step 2: Convert to fraction form
    7,720.63/10,662.03 = 6,595.00/x
  3. Step 3: Cross multiply
    7,720.63x = 10,662.03 × 6,595.00
  4. Step 4: Simplify right side
    7,720.63x = 70,316,061.19
  5. Step 5: Solve for x
    x = 70,316,061.19/7,720.63
  6. Step 6: Final answer
    x = 9,107.56

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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.