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Finding the Fourth Proportional to 9,870.57, 14,805.85 and 4,935.24

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Solution

The fourth proportional to 9,870.57, 14,805.85 and 4,935.24 is: 7,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.57 : 14,805.85 = 4,935.24 : x
  2. Step 2: Convert to fraction form
    9,870.57/14,805.85 = 4,935.24/x
  3. Step 3: Cross multiply
    9,870.57x = 14,805.85 × 4,935.24
  4. Step 4: Simplify right side
    9,870.57x = 73,070,423.15
  5. Step 5: Solve for x
    x = 73,070,423.15/9,870.57
  6. Step 6: Final answer
    x = 7,402.86

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Similar ratio
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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.