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Finding the Fourth Proportional to 10,632.53, 14,657.68 and 7,478.93

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Solution

The fourth proportional to 10,632.53, 14,657.68 and 7,478.93 is: 10,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.53 : 14,657.68 = 7,478.93 : x
  2. Step 2: Convert to fraction form
    10,632.53/14,657.68 = 7,478.93/x
  3. Step 3: Cross multiply
    10,632.53x = 14,657.68 × 7,478.93
  4. Step 4: Simplify right side
    10,632.53x = 109,623,762.68
  5. Step 5: Solve for x
    x = 109,623,762.68/10,632.53
  6. Step 6: Final answer
    x = 10,310.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.