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Finding the Fourth Proportional to 22,897.40, 34,346.10 and 9,750.20

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Solution

The fourth proportional to 22,897.40, 34,346.10 and 9,750.20 is: 14,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.40 : 34,346.10 = 9,750.20 : x
  2. Step 2: Convert to fraction form
    22,897.40/34,346.10 = 9,750.20/x
  3. Step 3: Cross multiply
    22,897.40x = 34,346.10 × 9,750.20
  4. Step 4: Simplify right side
    22,897.40x = 334,881,344.22
  5. Step 5: Solve for x
    x = 334,881,344.22/22,897.40
  6. Step 6: Final answer
    x = 14,625.30

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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.