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Finding the Fourth Proportional to 14,681.76, 20,260.98 and 7,967.45

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Solution

The fourth proportional to 14,681.76, 20,260.98 and 7,967.45 is: 10,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.76 : 20,260.98 = 7,967.45 : x
  2. Step 2: Convert to fraction form
    14,681.76/20,260.98 = 7,967.45/x
  3. Step 3: Cross multiply
    14,681.76x = 20,260.98 × 7,967.45
  4. Step 4: Simplify right side
    14,681.76x = 161,428,281.79
  5. Step 5: Solve for x
    x = 161,428,281.79/14,681.76
  6. Step 6: Final answer
    x = 10,995.16

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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.