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Finding the Fourth Proportional to 14,154.69, 19,533.48 and 7,867.06

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Solution

The fourth proportional to 14,154.69, 19,533.48 and 7,867.06 is: 10,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.69 : 19,533.48 = 7,867.06 : x
  2. Step 2: Convert to fraction form
    14,154.69/19,533.48 = 7,867.06/x
  3. Step 3: Cross multiply
    14,154.69x = 19,533.48 × 7,867.06
  4. Step 4: Simplify right side
    14,154.69x = 153,671,059.17
  5. Step 5: Solve for x
    x = 153,671,059.17/14,154.69
  6. Step 6: Final answer
    x = 10,856.55

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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.