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Finding the Fourth Proportional to 7,164.42, 9,891.51 and 4,925.58

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Solution

The fourth proportional to 7,164.42, 9,891.51 and 4,925.58 is: 6,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.42 : 9,891.51 = 4,925.58 : x
  2. Step 2: Convert to fraction form
    7,164.42/9,891.51 = 4,925.58/x
  3. Step 3: Cross multiply
    7,164.42x = 9,891.51 × 4,925.58
  4. Step 4: Simplify right side
    7,164.42x = 48,721,423.83
  5. Step 5: Solve for x
    x = 48,721,423.83/7,164.42
  6. Step 6: Final answer
    x = 6,800.47

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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.