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Finding the Fourth Proportional to 10,701.81, 14,766.08 and 6,721.47

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Solution

The fourth proportional to 10,701.81, 14,766.08 and 6,721.47 is: 9,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.81 : 14,766.08 = 6,721.47 : x
  2. Step 2: Convert to fraction form
    10,701.81/14,766.08 = 6,721.47/x
  3. Step 3: Cross multiply
    10,701.81x = 14,766.08 × 6,721.47
  4. Step 4: Simplify right side
    10,701.81x = 99,249,730.13
  5. Step 5: Solve for x
    x = 99,249,730.13/10,701.81
  6. Step 6: Final answer
    x = 9,274.11

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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.