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Finding the Fourth Proportional to 6,710.10, 10,066.74 and 6,598.53

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Solution

The fourth proportional to 6,710.10, 10,066.74 and 6,598.53 is: 9,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.10 : 10,066.74 = 6,598.53 : x
  2. Step 2: Convert to fraction form
    6,710.10/10,066.74 = 6,598.53/x
  3. Step 3: Cross multiply
    6,710.10x = 10,066.74 × 6,598.53
  4. Step 4: Simplify right side
    6,710.10x = 66,425,685.89
  5. Step 5: Solve for x
    x = 66,425,685.89/6,710.10
  6. Step 6: Final answer
    x = 9,899.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.