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Finding the Fourth Proportional to 9,897.02, 14,826.88 and 4,893.51

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Solution

The fourth proportional to 9,897.02, 14,826.88 and 4,893.51 is: 7,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.02 : 14,826.88 = 4,893.51 : x
  2. Step 2: Convert to fraction form
    9,897.02/14,826.88 = 4,893.51/x
  3. Step 3: Cross multiply
    9,897.02x = 14,826.88 × 4,893.51
  4. Step 4: Simplify right side
    9,897.02x = 72,555,547.27
  5. Step 5: Solve for x
    x = 72,555,547.27/9,897.02
  6. Step 6: Final answer
    x = 7,331.05

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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.