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Finding the Fourth Proportional to 9,810.90, 14,683.41 and 9,001.62

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Solution

The fourth proportional to 9,810.90, 14,683.41 and 9,001.62 is: 13,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.90 : 14,683.41 = 9,001.62 : x
  2. Step 2: Convert to fraction form
    9,810.90/14,683.41 = 9,001.62/x
  3. Step 3: Cross multiply
    9,810.90x = 14,683.41 × 9,001.62
  4. Step 4: Simplify right side
    9,810.90x = 132,174,477.12
  5. Step 5: Solve for x
    x = 132,174,477.12/9,810.90
  6. Step 6: Final answer
    x = 13,472.21

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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.