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Finding the Fourth Proportional to 7,904.16, 10,901.52 and 7,374.24

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Solution

The fourth proportional to 7,904.16, 10,901.52 and 7,374.24 is: 10,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.16 : 10,901.52 = 7,374.24 : x
  2. Step 2: Convert to fraction form
    7,904.16/10,901.52 = 7,374.24/x
  3. Step 3: Cross multiply
    7,904.16x = 10,901.52 × 7,374.24
  4. Step 4: Simplify right side
    7,904.16x = 80,390,424.84
  5. Step 5: Solve for x
    x = 80,390,424.84/7,904.16
  6. Step 6: Final answer
    x = 10,170.65

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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.