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Finding the Fourth Proportional to 7,045.76, 9,712.78 and 5,364.23

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Solution

The fourth proportional to 7,045.76, 9,712.78 and 5,364.23 is: 7,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.76 : 9,712.78 = 5,364.23 : x
  2. Step 2: Convert to fraction form
    7,045.76/9,712.78 = 5,364.23/x
  3. Step 3: Cross multiply
    7,045.76x = 9,712.78 × 5,364.23
  4. Step 4: Simplify right side
    7,045.76x = 52,101,585.86
  5. Step 5: Solve for x
    x = 52,101,585.86/7,045.76
  6. Step 6: Final answer
    x = 7,394.74

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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.