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Finding the Fourth Proportional to 9,810.00, 14,706.80 and 4,548.77

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Solution

The fourth proportional to 9,810.00, 14,706.80 and 4,548.77 is: 6,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.00 : 14,706.80 = 4,548.77 : x
  2. Step 2: Convert to fraction form
    9,810.00/14,706.80 = 4,548.77/x
  3. Step 3: Cross multiply
    9,810.00x = 14,706.80 × 4,548.77
  4. Step 4: Simplify right side
    9,810.00x = 66,897,837.65
  5. Step 5: Solve for x
    x = 66,897,837.65/9,810.00
  6. Step 6: Final answer
    x = 6,819.35

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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.