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Finding the Fourth Proportional to 10,706.88, 16,058.48 and 2,916.32

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Solution

The fourth proportional to 10,706.88, 16,058.48 and 2,916.32 is: 4,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.88 : 16,058.48 = 2,916.32 : x
  2. Step 2: Convert to fraction form
    10,706.88/16,058.48 = 2,916.32/x
  3. Step 3: Cross multiply
    10,706.88x = 16,058.48 × 2,916.32
  4. Step 4: Simplify right side
    10,706.88x = 46,831,666.39
  5. Step 5: Solve for x
    x = 46,831,666.39/10,706.88
  6. Step 6: Final answer
    x = 4,373.98

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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.