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Finding the Fourth Proportional to 9,897.60, 14,825.70 and 4,637.10

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Solution

The fourth proportional to 9,897.60, 14,825.70 and 4,637.10 is: 6,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.60 : 14,825.70 = 4,637.10 : x
  2. Step 2: Convert to fraction form
    9,897.60/14,825.70 = 4,637.10/x
  3. Step 3: Cross multiply
    9,897.60x = 14,825.70 × 4,637.10
  4. Step 4: Simplify right side
    9,897.60x = 68,748,253.47
  5. Step 5: Solve for x
    x = 68,748,253.47/9,897.60
  6. Step 6: Final answer
    x = 6,945.95

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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.