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Finding the Fourth Proportional to 7,670.88, 10,594.16 and 4,878.08

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Solution

The fourth proportional to 7,670.88, 10,594.16 and 4,878.08 is: 6,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.88 : 10,594.16 = 4,878.08 : x
  2. Step 2: Convert to fraction form
    7,670.88/10,594.16 = 4,878.08/x
  3. Step 3: Cross multiply
    7,670.88x = 10,594.16 × 4,878.08
  4. Step 4: Simplify right side
    7,670.88x = 51,679,160.01
  5. Step 5: Solve for x
    x = 51,679,160.01/7,670.88
  6. Step 6: Final answer
    x = 6,737.06

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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.