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Finding the Fourth Proportional to 7,056.42, 9,715.64 and 5,992.08

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Solution

The fourth proportional to 7,056.42, 9,715.64 and 5,992.08 is: 8,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.42 : 9,715.64 = 5,992.08 : x
  2. Step 2: Convert to fraction form
    7,056.42/9,715.64 = 5,992.08/x
  3. Step 3: Cross multiply
    7,056.42x = 9,715.64 × 5,992.08
  4. Step 4: Simplify right side
    7,056.42x = 58,216,892.13
  5. Step 5: Solve for x
    x = 58,216,892.13/7,056.42
  6. Step 6: Final answer
    x = 8,250.20

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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.