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Finding the Fourth Proportional to 7,897.84, 10,899.08 and 4,312.80

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Solution

The fourth proportional to 7,897.84, 10,899.08 and 4,312.80 is: 5,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.84 : 10,899.08 = 4,312.80 : x
  2. Step 2: Convert to fraction form
    7,897.84/10,899.08 = 4,312.80/x
  3. Step 3: Cross multiply
    7,897.84x = 10,899.08 × 4,312.80
  4. Step 4: Simplify right side
    7,897.84x = 47,005,552.22
  5. Step 5: Solve for x
    x = 47,005,552.22/7,897.84
  6. Step 6: Final answer
    x = 5,951.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.