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Finding the Fourth Proportional to 10,957.76, 16,436.64 and 9,310.40

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Solution

The fourth proportional to 10,957.76, 16,436.64 and 9,310.40 is: 13,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.76 : 16,436.64 = 9,310.40 : x
  2. Step 2: Convert to fraction form
    10,957.76/16,436.64 = 9,310.40/x
  3. Step 3: Cross multiply
    10,957.76x = 16,436.64 × 9,310.40
  4. Step 4: Simplify right side
    10,957.76x = 153,031,693.06
  5. Step 5: Solve for x
    x = 153,031,693.06/10,957.76
  6. Step 6: Final answer
    x = 13,965.60

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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.