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Finding the Fourth Proportional to 14,943.74, 22,407.96 and 8,368.16

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Solution

The fourth proportional to 14,943.74, 22,407.96 and 8,368.16 is: 12,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,943.74 : 22,407.96 = 8,368.16 : x
  2. Step 2: Convert to fraction form
    14,943.74/22,407.96 = 8,368.16/x
  3. Step 3: Cross multiply
    14,943.74x = 22,407.96 × 8,368.16
  4. Step 4: Simplify right side
    14,943.74x = 187,513,394.55
  5. Step 5: Solve for x
    x = 187,513,394.55/14,943.74
  6. Step 6: Final answer
    x = 12,547.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.