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Finding the Fourth Proportional to 7,927.59, 10,940.04 and 4,570.38

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Solution

The fourth proportional to 7,927.59, 10,940.04 and 4,570.38 is: 6,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.59 : 10,940.04 = 4,570.38 : x
  2. Step 2: Convert to fraction form
    7,927.59/10,940.04 = 4,570.38/x
  3. Step 3: Cross multiply
    7,927.59x = 10,940.04 × 4,570.38
  4. Step 4: Simplify right side
    7,927.59x = 50,000,140.02
  5. Step 5: Solve for x
    x = 50,000,140.02/7,927.59
  6. Step 6: Final answer
    x = 6,307.10

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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.