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Finding the Fourth Proportional to 14,011.76, 19,335.86 and 7,724.16

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Solution

The fourth proportional to 14,011.76, 19,335.86 and 7,724.16 is: 10,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.76 : 19,335.86 = 7,724.16 : x
  2. Step 2: Convert to fraction form
    14,011.76/19,335.86 = 7,724.16/x
  3. Step 3: Cross multiply
    14,011.76x = 19,335.86 × 7,724.16
  4. Step 4: Simplify right side
    14,011.76x = 149,353,276.38
  5. Step 5: Solve for x
    x = 149,353,276.38/14,011.76
  6. Step 6: Final answer
    x = 10,659.14

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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.