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Finding the Fourth Proportional to 10,510.65, 14,504.16 and 6,531.68

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Solution

The fourth proportional to 10,510.65, 14,504.16 and 6,531.68 is: 9,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.65 : 14,504.16 = 6,531.68 : x
  2. Step 2: Convert to fraction form
    10,510.65/14,504.16 = 6,531.68/x
  3. Step 3: Cross multiply
    10,510.65x = 14,504.16 × 6,531.68
  4. Step 4: Simplify right side
    10,510.65x = 94,736,459.27
  5. Step 5: Solve for x
    x = 94,736,459.27/10,510.65
  6. Step 6: Final answer
    x = 9,013.38

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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.