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Finding the Fourth Proportional to 9,878.98, 14,810.78 and 4,946.08

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Solution

The fourth proportional to 9,878.98, 14,810.78 and 4,946.08 is: 7,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.98 : 14,810.78 = 4,946.08 : x
  2. Step 2: Convert to fraction form
    9,878.98/14,810.78 = 4,946.08/x
  3. Step 3: Cross multiply
    9,878.98x = 14,810.78 × 4,946.08
  4. Step 4: Simplify right side
    9,878.98x = 73,255,302.74
  5. Step 5: Solve for x
    x = 73,255,302.74/9,878.98
  6. Step 6: Final answer
    x = 7,415.27

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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.