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Finding the Fourth Proportional to 7,041.08, 9,712.46 and 4,651.08

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Solution

The fourth proportional to 7,041.08, 9,712.46 and 4,651.08 is: 6,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.08 : 9,712.46 = 4,651.08 : x
  2. Step 2: Convert to fraction form
    7,041.08/9,712.46 = 4,651.08/x
  3. Step 3: Cross multiply
    7,041.08x = 9,712.46 × 4,651.08
  4. Step 4: Simplify right side
    7,041.08x = 45,173,428.46
  5. Step 5: Solve for x
    x = 45,173,428.46/7,041.08
  6. Step 6: Final answer
    x = 6,415.70

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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.