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Finding the Fourth Proportional to 30,263.70, 45,395.88 and 9,207.16

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Solution

The fourth proportional to 30,263.70, 45,395.88 and 9,207.16 is: 13,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,263.70 : 45,395.88 = 9,207.16 : x
  2. Step 2: Convert to fraction form
    30,263.70/45,395.88 = 9,207.16/x
  3. Step 3: Cross multiply
    30,263.70x = 45,395.88 × 9,207.16
  4. Step 4: Simplify right side
    30,263.70x = 417,967,130.50
  5. Step 5: Solve for x
    x = 417,967,130.50/30,263.70
  6. Step 6: Final answer
    x = 13,810.84

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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.