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Finding the Fourth Proportional to 7,066.99, 9,754.50 and 4,678.30

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Solution

The fourth proportional to 7,066.99, 9,754.50 and 4,678.30 is: 6,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.99 : 9,754.50 = 4,678.30 : x
  2. Step 2: Convert to fraction form
    7,066.99/9,754.50 = 4,678.30/x
  3. Step 3: Cross multiply
    7,066.99x = 9,754.50 × 4,678.30
  4. Step 4: Simplify right side
    7,066.99x = 45,634,477.35
  5. Step 5: Solve for x
    x = 45,634,477.35/7,066.99
  6. Step 6: Final answer
    x = 6,457.41

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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.