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Finding the Fourth Proportional to 7,045.55, 9,723.16 and 3,901.74

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Solution

The fourth proportional to 7,045.55, 9,723.16 and 3,901.74 is: 5,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.55 : 9,723.16 = 3,901.74 : x
  2. Step 2: Convert to fraction form
    7,045.55/9,723.16 = 3,901.74/x
  3. Step 3: Cross multiply
    7,045.55x = 9,723.16 × 3,901.74
  4. Step 4: Simplify right side
    7,045.55x = 37,937,242.30
  5. Step 5: Solve for x
    x = 37,937,242.30/7,045.55
  6. Step 6: Final answer
    x = 5,384.57

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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.