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Finding the Fourth Proportional to 10,946.61, 16,404.78 and 9,482.13

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Solution

The fourth proportional to 10,946.61, 16,404.78 and 9,482.13 is: 14,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.61 : 16,404.78 = 9,482.13 : x
  2. Step 2: Convert to fraction form
    10,946.61/16,404.78 = 9,482.13/x
  3. Step 3: Cross multiply
    10,946.61x = 16,404.78 × 9,482.13
  4. Step 4: Simplify right side
    10,946.61x = 155,552,256.58
  5. Step 5: Solve for x
    x = 155,552,256.58/10,946.61
  6. Step 6: Final answer
    x = 14,210.08

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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.