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Finding the Fourth Proportional to 9,543.65, 14,302.71 and 4,603.46

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Solution

The fourth proportional to 9,543.65, 14,302.71 and 4,603.46 is: 6,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.65 : 14,302.71 = 4,603.46 : x
  2. Step 2: Convert to fraction form
    9,543.65/14,302.71 = 4,603.46/x
  3. Step 3: Cross multiply
    9,543.65x = 14,302.71 × 4,603.46
  4. Step 4: Simplify right side
    9,543.65x = 65,841,881.86
  5. Step 5: Solve for x
    x = 65,841,881.86/9,543.65
  6. Step 6: Final answer
    x = 6,899.03

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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.