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Finding the Fourth Proportional to 10,842.80, 16,256.02 and 5,916.64

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Solution

The fourth proportional to 10,842.80, 16,256.02 and 5,916.64 is: 8,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.80 : 16,256.02 = 5,916.64 : x
  2. Step 2: Convert to fraction form
    10,842.80/16,256.02 = 5,916.64/x
  3. Step 3: Cross multiply
    10,842.80x = 16,256.02 × 5,916.64
  4. Step 4: Simplify right side
    10,842.80x = 96,181,018.17
  5. Step 5: Solve for x
    x = 96,181,018.17/10,842.80
  6. Step 6: Final answer
    x = 8,870.50

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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.