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Finding the Fourth Proportional to 10,335, 15,558.76 and 9,416.46

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Solution

The fourth proportional to 10,335, 15,558.76 and 9,416.46 is: 14,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335 : 15,558.76 = 9,416.46 : x
  2. Step 2: Convert to fraction form
    10,335/15,558.76 = 9,416.46/x
  3. Step 3: Cross multiply
    10,335x = 15,558.76 × 9,416.46
  4. Step 4: Simplify right side
    10,335x = 146,508,441.19
  5. Step 5: Solve for x
    x = 146,508,441.19/10,335
  6. Step 6: Final answer
    x = 14,175.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.