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Finding the Fourth Proportional to 7,697.99, 10,607.54 and 5,308.70

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Solution

The fourth proportional to 7,697.99, 10,607.54 and 5,308.70 is: 7,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.99 : 10,607.54 = 5,308.70 : x
  2. Step 2: Convert to fraction form
    7,697.99/10,607.54 = 5,308.70/x
  3. Step 3: Cross multiply
    7,697.99x = 10,607.54 × 5,308.70
  4. Step 4: Simplify right side
    7,697.99x = 56,312,168.02
  5. Step 5: Solve for x
    x = 56,312,168.02/7,697.99
  6. Step 6: Final answer
    x = 7,315.18

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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.