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Finding the Fourth Proportional to 10,973.70, 16,412.55 and 9,812.10

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Solution

The fourth proportional to 10,973.70, 16,412.55 and 9,812.10 is: 14,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.70 : 16,412.55 = 9,812.10 : x
  2. Step 2: Convert to fraction form
    10,973.70/16,412.55 = 9,812.10/x
  3. Step 3: Cross multiply
    10,973.70x = 16,412.55 × 9,812.10
  4. Step 4: Simplify right side
    10,973.70x = 161,041,581.86
  5. Step 5: Solve for x
    x = 161,041,581.86/10,973.70
  6. Step 6: Final answer
    x = 14,675.23

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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.