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Finding the Fourth Proportional to 10,784.16, 14,866.20 and 6,802.20

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Solution

The fourth proportional to 10,784.16, 14,866.20 and 6,802.20 is: 9,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.16 : 14,866.20 = 6,802.20 : x
  2. Step 2: Convert to fraction form
    10,784.16/14,866.20 = 6,802.20/x
  3. Step 3: Cross multiply
    10,784.16x = 14,866.20 × 6,802.20
  4. Step 4: Simplify right side
    10,784.16x = 101,122,865.64
  5. Step 5: Solve for x
    x = 101,122,865.64/10,784.16
  6. Step 6: Final answer
    x = 9,376.98

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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.